122100110232120 has 192 divisors, whose sum is σ = 397344121574400. Its totient is φ = 32517488044800.

The previous prime is 122100110232073. The next prime is 122100110232131. The reversal of 122100110232120 is 21232011001221.

122100110232120 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 110 + 2 + 321 + 20 = 666.

122100110232120 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 122100110232093 and 122100110232102.

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, 1012890811 + ... + 1013011349.

It is an arithmetic number, because the mean of its divisors is an integer number (2069500633200).

Almost surely, 2^{122100110232120} is an apocalyptic number.

122100110232120 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 122100110232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198672060787200).

122100110232120 is an abundant number, since it is smaller than the sum of its proper divisors (275244011342280).

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

122100110232120 is a wasteful number, since it uses less digits than its factorization.

122100110232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124210 (or 124203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122100110232120 its reverse (21232011001221), we get a palindrome (143332121233341).

The spelling of 122100110232120 in words is "one hundred twenty-two trillion, one hundred billion, one hundred ten million, two hundred thirty-two thousand, one hundred twenty".