12057042000 has 160 divisors (see below), whose sum is σ = 39923230464. Its totient is φ = 3128256000.

The previous prime is 12057041999. The next prime is 12057042043. The reversal of 12057042000 is 24075021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194845 + ... + 249155.

Almost surely, 2^12057042000 is an apocalyptic number.

12057042000 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 12057042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19961615232).

12057042000 is an abundant number, since it is smaller than the sum of its proper divisors (27866188464).

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

12057042000 is a wasteful number, since it uses less digits than its factorization.

12057042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54374 (or 54358 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The spelling of 12057042000 in words is "twelve billion, fifty-seven million, forty-two thousand".