10120122111200 has 72 divisors (see below), whose sum is σ = 24853687043472. Its totient is φ = 4023808977920.

The previous prime is 10120122111193. The next prime is 10120122111259. The reversal of 10120122111200 is 211122102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37741109 + ... + 38008308.

It is an arithmetic number, because the mean of its divisors is an integer number (345190097826).

Almost surely, 2^{10120122111200} is an apocalyptic number.

10120122111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120122111200 is an abundant number, since it is smaller than the sum of its proper divisors (14733564932272).

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

10120122111200 is a wasteful number, since it uses less digits than its factorization.

10120122111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75749604 (or 75749591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120122111200 its reverse (211122102101), we get a palindrome (10331244213301).

Subtracting from 10120122111200 its reverse (211122102101), we obtain a palindrome (9909000009099).

The spelling of 10120122111200 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".