120012100122000 has 80 divisors (see below), whose sum is σ = 386919010812672. Its totient is φ = 32003226697600.

The previous prime is 120012100121993. The next prime is 120012100122029. The reversal of 120012100122000 is 221001210021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×120012100122000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10001002344 + ... + 10001014343.

Almost surely, 2^{120012100122000} is an apocalyptic number.

120012100122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012100122000 is an abundant number, since it is smaller than the sum of its proper divisors (266906910690672).

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

120012100122000 is a wasteful number, since it uses less digits than its factorization.

120012100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20002016713 (or 20002016697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120012100122000 its reverse (221001210021), we get a palindrome (120233101332021).

The spelling of 120012100122000 in words is "one hundred twenty trillion, twelve billion, one hundred million, one hundred twenty-two thousand".