12357457289100 has 5184 divisors, whose sum is σ = 59750415728640. Its totient is φ = 2172751257600.

The previous prime is 12357457289087. The next prime is 12357457289137. The reversal of 12357457289100 is 198275475321.

12357457289100 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 7 + 457 + 2 + 89 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 97302813237 + ... + 97302813363.

It is an arithmetic number, because the mean of its divisors is an integer number (11525928960).

Almost surely, 2^{12357457289100} is an apocalyptic number.

12357457289100 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 12357457289100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29875207864320).

12357457289100 is an abundant number, since it is smaller than the sum of its proper divisors (47392958439540).

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

12357457289100 is a wasteful number, since it uses less digits than its factorization.

12357457289100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 12357457289100 in words is "twelve trillion, three hundred fifty-seven billion, four hundred fifty-seven million, two hundred eighty-nine thousand, one hundred".