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12120133113 = 37111273967
BaseRepresentation
bin10110100100110101…
…01000110111111001
31011021200011120000000
423102122220313321
5144310223224423
65322400303213
7606230301024
oct132232506771
934250146000
1012120133113
11515a554440
122423011b09
1311b20071ca
1482d9701bb
154ae0a0843
hex2d26a8df9

12120133113 has 64 divisors (see below), whose sum is σ = 19991101440. Its totient is φ = 7285859280.

The previous prime is 12120133093. The next prime is 12120133141. The reversal of 12120133113 is 31133102121.

12120133113 is a `hidden beast` number, since 121 + 201 + 331 + 13 = 666.

It is not a de Polignac number, because 12120133113 - 212 = 12120129017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120133163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3053256 + ... + 3057222.

It is an arithmetic number, because the mean of its divisors is an integer number (312360960).

Almost surely, 212120133113 is an apocalyptic number.

It is an amenable number.

12120133113 is a deficient number, since it is larger than the sum of its proper divisors (7870968327).

12120133113 is an equidigital number, since it uses as much as digits as its factorization.

12120133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12120133113 its reverse (31133102121), we get a palindrome (43253235234).

The spelling of 12120133113 in words is "twelve billion, one hundred twenty million, one hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 81 99 127 243 297 381 729 891 1143 1397 2187 2673 3429 3967 4191 8019 10287 11901 12573 24057 30861 35703 37719 43637 92583 107109 113157 130911 277749 321327 339471 392733 503809 963981 1018413 1178199 1511427 2891943 3055239 3534597 4534281 5541899 8675829 10603791 13602843 16625697 31811373 40808529 49877091 95434119 122425587 149631273 367276761 448893819 1101830283 1346681457 4040044371 12120133113