12356153600 has 486 divisors, whose sum is σ = 37657890522. Its totient is φ = 3999744000.

The previous prime is 12356153581. The next prime is 12356153603. The reversal of 12356153600 is 635165321.

It can be written as a sum of positive squares in 3 ways, for example, as 12054784 + 12344098816 = 3472^2 + 111104^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12356153603) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 301369580 + ... + 301369620.

Almost surely, 2^12356153600 is an apocalyptic number.

12356153600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12356153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828945261).

12356153600 is an abundant number, since it is smaller than the sum of its proper divisors (25301736922).

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

12356153600 is an equidigital number, since it uses as much as digits as its factorization.

12356153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 12356153600 in words is "twelve billion, three hundred fifty-six million, one hundred fifty-three thousand, six hundred".