122112121012020 has 36 divisors (see below), whose sum is σ = 370406767070340. Its totient is φ = 32563232269824.

The previous prime is 122112121011931. The next prime is 122112121012039. The reversal of 122112121012020 is 20210121211221.

It can be written as a sum of positive squares in 2 ways, for example, as 90122441104656 + 31989679907364 = 9493284^2 + 5655942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122112121012020² (a number of 29 digits) contains 22 as substring.

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 = 122112121011984 and 122112121012002.

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, 339200335965 + ... + 339200336324.

It is an arithmetic number, because the mean of its divisors is an integer number (10289076863065).

Almost surely, 2^{122112121012020} is an apocalyptic number.

122112121012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112121012020 is an abundant number, since it is smaller than the sum of its proper divisors (248294646058320).

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

122112121012020 is a wasteful number, since it uses less digits than its factorization.

122112121012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678400672304 (or 678400672299 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112121012020 its reverse (20210121211221), we get a palindrome (142322242223241).

The spelling of 122112121012020 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, twelve thousand, twenty".