12157200 has 180 divisors, whose sum is σ = 46174128. Its totient is φ = 2937600.

The previous prime is 12157199. The next prime is 12157219. The reversal of 12157200 is 275121.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39447 + ... + 39753.

Almost surely, 2^12157200 is an apocalyptic number.

12157200 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 12157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087064).

12157200 is an abundant number, since it is smaller than the sum of its proper divisors (34016928).

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

12157200 is a wasteful number, since it uses less digits than its factorization.

12157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12157200 is about 3486.7176541842. The cubic root of 12157200 is about 229.9382316803.

The spelling of 12157200 in words is "twelve million, one hundred fifty-seven thousand, two hundred".