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12225656432231 = 1127310163136189
BaseRepresentation
bin1011000111101000000111…
…1010001010011001100111
31121021202120000110120211122
42301322001322022121213
53100301121021312411
642000220010324155
72401163110024334
oct261720172123147
947252500416748
1012225656432231
113993965374300
1214554b772965b
136a8b4a23bbb8
14303a212bd98b
1516303d9d09db
hexb1e81e8a667

12225656432231 has 24 divisors (see below), whose sum is σ = 13623642444720. Its totient is φ = 10960824251520.

The previous prime is 12225656432219. The next prime is 12225656432237. The reversal of 12225656432231 is 13223465652221.

12225656432231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12225656432231 - 234 = 12208476563047 is a prime.

It is a super-2 number, since 2×122256564322312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225656432237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89701685 + ... + 89837873.

It is an arithmetic number, because the mean of its divisors is an integer number (567651768530).

Almost surely, 212225656432231 is an apocalyptic number.

12225656432231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12225656432231 is a deficient number, since it is larger than the sum of its proper divisors (1397986012489).

12225656432231 is a wasteful number, since it uses less digits than its factorization.

12225656432231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146447 (or 146436 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

The spelling of 12225656432231 in words is "twelve trillion, two hundred twenty-five billion, six hundred fifty-six million, four hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 73 121 803 8833 10163 111793 136189 741899 1229723 1498079 8160889 9941797 16478869 89769779 109359767 1202957437 1384088807 15224976877 101038482911 167474745647 1111423312021 12225656432231