12157600 has 144 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 3824640.

The previous prime is 12157597. The next prime is 12157627. The reversal of 12157600 is 675121.

12157600 = T₈₅ + T₈₆ + ... + T₄₁₈.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72717 + ... + 72883.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

It is a vampire number, since it can be written as 2171 ⋅ 5600 (with its own digits).

Almost surely, 2^12157600 is an apocalyptic number.

12157600 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 12157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

12157600 is an abundant number, since it is smaller than the sum of its proper divisors (24590048).

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

12157600 is a wasteful number, since it uses less digits than its factorization.

12157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 12157600 is about 3486.7750142503. The cubic root of 12157600 is about 229.9407534859.

It can be divided in two parts, 121 and 57600, that multiplied together give a square (6969600 = 2640²).

The spelling of 12157600 in words is "twelve million, one hundred fifty-seven thousand, six hundred".