12357273600 has 576 divisors, whose sum is σ = 51915427200. Its totient is φ = 2822307840.

The previous prime is 12357273587. The next prime is 12357273601. The reversal of 12357273600 is 637275321.

12357273600 is a `hidden beast` number, since 1 + 23 + 5 + 7 + 27 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12357273601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676162 + ... + 9677438.

It is an arithmetic number, because the mean of its divisors is an integer number (90130950).

Almost surely, 2^12357273600 is an apocalyptic number.

12357273600 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 12357273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25957713600).

12357273600 is an abundant number, since it is smaller than the sum of its proper divisors (39558153600).

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

12357273600 is a wasteful number, since it uses less digits than its factorization.

12357273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 12357273600 in words is "twelve billion, three hundred fifty-seven million, two hundred seventy-three thousand, six hundred".