12120863872000 has 528 divisors, whose sum is σ = 33236590600512. Its totient is φ = 4408071782400.

The previous prime is 12120863871967. The next prime is 12120863872021. The reversal of 12120863872000 is 27836802121.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449339819 + ... + 1449348181.

Almost surely, 2^{12120863872000} is an apocalyptic number.

12120863872000 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 12120863872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618295300256).

12120863872000 is an abundant number, since it is smaller than the sum of its proper divisors (21115726728512).

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

12120863872000 is an equidigital number, since it uses as much as digits as its factorization.

12120863872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8491 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 12120863872000 in words is "twelve trillion, one hundred twenty billion, eight hundred sixty-three million, eight hundred seventy-two thousand".