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121485105408 = 2833115433307
BaseRepresentation
bin111000100100100010…
…0111001100100000000
3102121120111122210010110
41301021010321210000
53442300141333113
6131450503231320
711530341233532
oct1611104714400
9377514583113
10121485105408
11475811a1867
121b665148540
13b5c0a92c74
145c4668d852
15326055bbc3
hex1c49139900

121485105408 has 144 divisors (see below), whose sum is σ = 334074761216. Its totient is φ = 39151503360.

The previous prime is 121485105389. The next prime is 121485105431. The reversal of 121485105408 is 804501584121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36734091 + ... + 36737397.

Almost surely, 2121485105408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121485105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167037380608).

121485105408 is an abundant number, since it is smaller than the sum of its proper divisors (212589655808).

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

121485105408 is a wasteful number, since it uses less digits than its factorization.

121485105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

Adding to 121485105408 its reverse (804501584121), we get a palindrome (925986689529).

The spelling of 121485105408 in words is "one hundred twenty-one billion, four hundred eighty-five million, one hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1543 1984 2976 3086 3307 3968 4629 5952 6172 6614 7936 9258 9921 11904 12344 13228 18516 19842 23808 24688 26456 37032 39684 47833 49376 52912 74064 79368 95666 98752 102517 105824 143499 148128 158736 191332 197504 205034 211648 286998 296256 307551 317472 382664 395008 410068 423296 573996 592512 615102 634944 765328 820136 846592 1147992 1185024 1230204 1269888 1530656 1640272 2295984 2460408 2539776 3061312 3280544 4591968 4920816 5102701 6122624 6561088 9183936 9841632 10205402 12245248 13122176 15308103 18367872 19683264 20410804 26244352 30616206 36735744 39366528 40821608 61232412 78733056 81643216 122464824 158183731 163286432 244929648 316367462 326572864 474551193 489859296 632734924 653145728 949102386 979718592 1265469848 1306291456 1898204772 1959437184 2530939696 3796409544 3918874368 5061879392 7592819088 10123758784 15185638176 20247517568 30371276352 40495035136 60742552704 121485105408