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1121212320312 = 233731071272913
BaseRepresentation
bin10000010100001101011…
…101100100101000111000
310222012001012210021210210
4100110031131210220320
5121332220323222222
62215024451111120
7144001454322000
oct20241535445070
93865035707723
101121212320312
113a255a141227
1216136b8a24a0
138196469c0b6
143c3a47a9000
151e272d8cd0c
hex1050d764a38

1121212320312 has 128 divisors (see below), whose sum is σ = 3299393088000. Its totient is φ = 317352236544.

The previous prime is 1121212320257. The next prime is 1121212320331. The reversal of 1121212320312 is 2130232121211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244368 + ... + 1517280.

It is an arithmetic number, because the mean of its divisors is an integer number (25776508500).

Almost surely, 21121212320312 is an apocalyptic number.

1121212320312 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 1121212320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649696544000).

1121212320312 is an abundant number, since it is smaller than the sum of its proper divisors (2178180767688).

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

1121212320312 is a wasteful number, since it uses less digits than its factorization.

1121212320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273050 (or 1273032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1121212320312 its reverse (2130232121211), we get a palindrome (3251444441523).

The spelling of 1121212320312 in words is "one trillion, one hundred twenty-one billion, two hundred twelve million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 107 147 168 196 214 294 321 343 392 428 588 642 686 749 856 1029 1176 1284 1372 1498 2058 2247 2568 2744 2996 4116 4494 5243 5992 8232 8988 10486 15729 17976 20972 31458 36701 41944 62916 73402 110103 125832 146804 220206 293608 440412 880824 1272913 2545826 3818739 5091652 7637478 8910391 10183304 15274956 17820782 26731173 30549912 35641564 53462346 62372737 71283128 106924692 124745474 136201691 187118211 213849384 249490948 272403382 374236422 408605073 436609159 498981896 544806764 748472844 817210146 873218318 953411837 1089613528 1309827477 1496945688 1634420292 1746436636 1906823674 2619654954 2860235511 3268840584 3492873272 3813647348 5239309908 5720471022 6673882859 7627294696 10478619816 11440942044 13347765718 20021648577 22881884088 26695531436 40043297154 46717180013 53391062872 80086594308 93434360026 140151540039 160173188616 186868720052 280303080078 373737440104 560606160156 1121212320312