12015812992000 has 352 divisors, whose sum is σ = 30271079494656. Its totient is φ = 4759382016000.

The previous prime is 12015812991983. The next prime is 12015812992003. The reversal of 12015812992000 is 29921851021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015812992003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6562431085 + ... + 6562432915.

It is an arithmetic number, because the mean of its divisors is an integer number (85997384928).

Almost surely, 2^{12015812992000} is an apocalyptic number.

12015812992000 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 12015812992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135539747328).

12015812992000 is an abundant number, since it is smaller than the sum of its proper divisors (18255266502656).

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

12015812992000 is a wasteful number, since it uses less digits than its factorization.

12015812992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 12015812992000 in words is "twelve trillion, fifteen billion, eight hundred twelve million, nine hundred ninety-two thousand".