12157040 has 80 divisors (see below), whose sum is σ = 34229952. Its totient is φ = 3919872.

The previous prime is 12157039. The next prime is 12157049. The reversal of 12157040 is 4075121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8882 + ... + 10158.

Almost surely, 2^12157040 is an apocalyptic number.

12157040 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 12157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17114976).

12157040 is an abundant number, since it is smaller than the sum of its proper divisors (22072912).

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

12157040 is a wasteful number, since it uses less digits than its factorization.

12157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 12157040 is about 3486.6947098936. The cubic root of 12157040 is about 229.9372229426.

The spelling of 12157040 in words is "twelve million, one hundred fifty-seven thousand, forty".