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121333321023312 = 243371427186725643
BaseRepresentation
bin11011100101101000011101…
…011111111011111101010000
3120220121100111202111212002010
4123211220131133323331100
5111400411120140221222
61110015431433422520
734362020542660236
oct3345503537737520
9526540452455063
10121333321023312
113572a1996233a2
121173726386aa40
1352918b594c648
1421d67c7b52956
15e06258a0b80c
hex6e5a1d7fbf50

121333321023312 has 160 divisors (see below), whose sum is σ = 322326586778112. Its totient is φ = 39301175849472.

The previous prime is 121333321023293. The next prime is 121333321023403. The reversal of 121333321023312 is 213320123333121.

It is a self number, because there is not a number n which added to its sum of digits gives 121333321023312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4731622363 + ... + 4731648005.

Almost surely, 2121333321023312 is an apocalyptic number.

121333321023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121333321023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161163293389056).

121333321023312 is an abundant number, since it is smaller than the sum of its proper divisors (200993265754800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121333321023312 is a wasteful number, since it uses less digits than its factorization.

121333321023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28985 (or 28979 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 121333321023312 its reverse (213320123333121), we get a palindrome (334653444356433).

The spelling of 121333321023312 in words is "one hundred twenty-one trillion, three hundred thirty-three billion, three hundred twenty-one million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1427 1776 1867 2854 3734 4281 5601 5708 7468 8562 11202 11416 14936 17124 22404 22832 25643 29872 34248 44808 51286 52799 68496 69079 76929 89616 102572 105598 138158 153858 158397 205144 207237 211196 276316 307716 316794 410288 414474 422392 552632 615432 633588 828948 844784 948791 1105264 1230864 1267176 1657896 1897582 2534352 2664209 2846373 3315792 3795164 5328418 5692746 7590328 7992627 10656836 11385492 15180656 15985254 21313672 22770984 31970508 36592561 42627344 45541968 47875481 63941016 73185122 95750962 98575733 109777683 127882032 143626443 146370244 191501924 197151466 219555366 287252886 292740488 295727199 383003848 394302932 439110732 574505772 585480976 591454398 766007696 788605864 878221464 1149011544 1182908796 1353924757 1577211728 1756442928 1771392797 2298023088 2365817592 2707849514 3542785594 4061774271 4731635184 5314178391 5415699028 7085571188 8123548542 10628356782 10831398056 14171142376 16247097084 21256713564 21662796112 28342284752 32494194168 42513427128 64988388336 68318311387 85026854256 136636622774 204954934161 273273245548 409909868322 546546491096 819819736644 1093092982192 1639639473288 2527777521319 3279278946576 5055555042638 7583332563957 10111110085276 15166665127914 20222220170552 30333330255828 40444440341104 60666660511656 121333321023312