120011022121200 has 960 divisors, whose sum is σ = 451086228633600. Its totient is φ = 26709250867200.

The previous prime is 120011022121187. The next prime is 120011022121267. The reversal of 120011022121200 is 2121220110021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120011022121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45788255890 + ... + 45788258510.

It is an arithmetic number, because the mean of its divisors is an integer number (469881488160).

Almost surely, 2^{120011022121200} is an apocalyptic number.

120011022121200 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 120011022121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225543114316800).

120011022121200 is an abundant number, since it is smaller than the sum of its proper divisors (331075206512400).

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

120011022121200 is a wasteful number, since it uses less digits than its factorization.

120011022121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120011022121200 its reverse (2121220110021), we get a palindrome (122132242231221).

The spelling of 120011022121200 in words is "one hundred twenty trillion, eleven billion, twenty-two million, one hundred twenty-one thousand, two hundred".