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12101032211232 = 253271465138077
BaseRepresentation
bin1011000000010111110110…
…1110011111001100100000
31120211211212202000012122210
42300011331232133030200
53041230403221224412
641423045405002120
72356161600440136
oct260057556371440
946754782005583
1012101032211232
113946023234538
121435317253340
1369a179006ab3
142db99bb73756
1515eb97aa083c
hexb017db9f320

12101032211232 has 48 divisors (see below), whose sum is σ = 31882424418432. Its totient is φ = 4018792976640.

The previous prime is 12101032211231. The next prime is 12101032211239. The reversal of 12101032211232 is 23211223010121.

12101032211232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12101032211199 and 12101032211208.

It is not an unprimeable number, because it can be changed into a prime (12101032211231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232543023 + ... + 232595054.

It is an arithmetic number, because the mean of its divisors is an integer number (664217175384).

Almost surely, 212101032211232 is an apocalyptic number.

12101032211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101032211232 is an abundant number, since it is smaller than the sum of its proper divisors (19781392207200).

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

12101032211232 is a wasteful number, since it uses less digits than its factorization.

12101032211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465138361 (or 465138353 counting only the distinct ones).

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

Adding to 12101032211232 its reverse (23211223010121), we get a palindrome (35312255221353).

The spelling of 12101032211232 in words is "twelve trillion, one hundred one billion, thirty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 26016 465138077 930276154 1395414231 1860552308 2790828462 3721104616 5581656924 7442209232 11163313848 14884418464 22326627696 44653255392 126052418867 252104837734 378157256601 504209675468 756314513202 1008419350936 1512629026404 2016838701872 3025258052808 4033677403744 6050516105616 12101032211232