122112220020 has 192 divisors, whose sum is σ = 394303580160. Its totient is φ = 27658962432.

The previous prime is 122112220019. The next prime is 122112220067. The reversal of 122112220020 is 20022211221.

122112220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112220020² (a number of 23 digits) contains 22 as substring.

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

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, 37536714 + ... + 37539966.

It is an arithmetic number, because the mean of its divisors is an integer number (2053664480).

Almost surely, 2^122112220020 is an apocalyptic number.

122112220020 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 122112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197151790080).

122112220020 is an abundant number, since it is smaller than the sum of its proper divisors (272191360140).

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

122112220020 is a wasteful number, since it uses less digits than its factorization.

122112220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122112220020 its reverse (20022211221), we get a palindrome (142134431241).

The spelling of 122112220020 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, twenty".