122031103110120 has 320 divisors, whose sum is σ = 417791602166400. Its totient is φ = 31941733363200.

The previous prime is 122031103110053. The next prime is 122031103110143. The reversal of 122031103110120 is 21011301130221.

122031103110120 is a `hidden beast` number, since 1 + 2 + 20 + 311 + 0 + 311 + 0 + 1 + 20 = 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 = 122031103110093 and 122031103110102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36173445 + ... + 39402795.

It is an arithmetic number, because the mean of its divisors is an integer number (1305598756770).

Almost surely, 2^{122031103110120} is an apocalyptic number.

122031103110120 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 122031103110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208895801083200).

122031103110120 is an abundant number, since it is smaller than the sum of its proper divisors (295760499056280).

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

122031103110120 is a wasteful number, since it uses less digits than its factorization.

122031103110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229590 (or 3229577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122031103110120 its reverse (21011301130221), we get a palindrome (143042404240341).

The spelling of 122031103110120 in words is "one hundred twenty-two trillion, thirty-one billion, one hundred three million, one hundred ten thousand, one hundred twenty".