12002100112000 has 64 divisors (see below), whose sum is σ = 29840221443240. Its totient is φ = 4800840038400.

The previous prime is 12002100111941. The next prime is 12002100112021. The reversal of 12002100112000 is 21100120021.

12002100112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4056421571136 + 7945678540864 = 2014056^2 + 2818808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375049629 + ... + 375081628.

Almost surely, 2^{12002100112000} is an apocalyptic number.

12002100112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002100112000 is an abundant number, since it is smaller than the sum of its proper divisors (17838121331240).

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

12002100112000 is an frugal number, since it uses more digits than its factorization.

12002100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750131286 (or 750131264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12002100112000 its reverse (21100120021), we get a palindrome (12023200232021).

The spelling of 12002100112000 in words is "twelve trillion, two billion, one hundred million, one hundred twelve thousand".