12157356000 has 192 divisors, whose sum is σ = 39908284416. Its totient is φ = 3235392000.

The previous prime is 12157355971. The next prime is 12157356023. The reversal of 12157356000 is 65375121.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9875385 + ... + 9876615.

It is an arithmetic number, because the mean of its divisors is an integer number (207855648).

Almost surely, 2^12157356000 is an apocalyptic number.

12157356000 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 12157356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19954142208).

12157356000 is an abundant number, since it is smaller than the sum of its proper divisors (27750928416).

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

12157356000 is a wasteful number, since it uses less digits than its factorization.

12157356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 12157356000 in words is "twelve billion, one hundred fifty-seven million, three hundred fifty-six thousand".