120001012111200 has 288 divisors, whose sum is σ = 437629247435520. Its totient is φ = 28304906803200.

The previous prime is 120001012111193. The next prime is 120001012111327. The reversal of 120001012111200 is 2111210100021.

120001012111200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 60448780 + ... + 62402379.

It is an arithmetic number, because the mean of its divisors is an integer number (1519545998040).

Almost surely, 2^{120001012111200} is an apocalyptic number.

120001012111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001012111200 is an abundant number, since it is smaller than the sum of its proper divisors (317628235324320).

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

120001012111200 is a wasteful number, since it uses less digits than its factorization.

120001012111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122851230 (or 122851217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120001012111200 its reverse (2111210100021), we get a palindrome (122112222211221).

The spelling of 120001012111200 in words is "one hundred twenty trillion, one billion, twelve million, one hundred eleven thousand, two hundred".