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12133220232 = 233772221549
BaseRepresentation
bin10110100110011001…
…00011111110001000
31011022120210110011010
423103030203332020
5144322101021412
65323545003520
7606446445630
oct132314437610
934276713133
1012133220232
115166982a41
1224274835a0
1311b4939c73
148315b96c0
154b02d833c
hex2d3323f88

12133220232 has 32 divisors (see below), whose sum is σ = 34666344000. Its totient is φ = 3466634304.

The previous prime is 12133220221. The next prime is 12133220243. The reversal of 12133220232 is 23202233121.

It is a happy number.

12133220232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12133220221) and next prime (12133220243).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12133220199 and 12133220208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36110607 + ... + 36110942.

It is an arithmetic number, because the mean of its divisors is an integer number (1083323250).

Almost surely, 212133220232 is an apocalyptic number.

12133220232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133220232 is an abundant number, since it is smaller than the sum of its proper divisors (22533123768).

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

12133220232 is a wasteful number, since it uses less digits than its factorization.

12133220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72221565 (or 72221561 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12133220232 its reverse (23202233121), we get a palindrome (35335453353).

The spelling of 12133220232 in words is "twelve billion, one hundred thirty-three million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 72221549 144443098 216664647 288886196 433329294 505550843 577772392 866658588 1011101686 1516652529 1733317176 2022203372 3033305058 4044406744 6066610116 12133220232