122113100120220 has 192 divisors, whose sum is σ = 417608161850880. Its totient is φ = 29377197158400.

The previous prime is 122113100120213. The next prime is 122113100120251. The reversal of 122113100120220 is 22021001311221.

122113100120220 is a `hidden beast` number, since 1 + 2 + 2 + 11 + 310 + 0 + 120 + 220 = 666.

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 = 122113100120193 and 122113100120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77686597 + ... + 79242876.

It is an arithmetic number, because the mean of its divisors is an integer number (2175042509640).

Almost surely, 2^{122113100120220} is an apocalyptic number.

122113100120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113100120220 is an abundant number, since it is smaller than the sum of its proper divisors (295495061730660).

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

122113100120220 is a wasteful number, since it uses less digits than its factorization.

122113100120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156929633 (or 156929625 counting only the distinct ones).

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

Adding to 122113100120220 its reverse (22021001311221), we get a palindrome (144134101431441).

The spelling of 122113100120220 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred twenty thousand, two hundred twenty".