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12232113024 = 27352161141
BaseRepresentation
bin10110110010001011…
…10011101110000000
31011120110212201120010
423121011303232000
5200022410104044
65341440344520
7612060150045
oct133105635600
934513781503
1012232113024
11520778861a
122454615140
1311cc283801
1484079d1cc
154b8d1ebb9
hex2d9173b80

12232113024 has 64 divisors (see below), whose sum is σ = 32554446480. Its totient is φ = 4069478400.

The previous prime is 12232113011. The next prime is 12232113041. The reversal of 12232113024 is 42031123221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169494 + ... + 230634.

Almost surely, 212232113024 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 12232113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277223240).

12232113024 is an abundant number, since it is smaller than the sum of its proper divisors (20322333456).

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

12232113024 is an equidigital number, since it uses as much as digits as its factorization.

12232113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61679 (or 61667 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12232113024 its reverse (42031123221), we get a palindrome (54263236245).

The spelling of 12232113024 in words is "twelve billion, two hundred thirty-two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 521 1042 1563 2084 3126 4168 6252 8336 12504 16672 25008 33344 50016 61141 66688 100032 122282 183423 200064 244564 366846 489128 733692 978256 1467384 1956512 2934768 3913024 5869536 7826048 11739072 23478144 31854461 63708922 95563383 127417844 191126766 254835688 382253532 509671376 764507064 1019342752 1529014128 2038685504 3058028256 4077371008 6116056512 12232113024