122112202120020 has 144 divisors (see below), whose sum is σ = 424019704163328. Its totient is φ = 27865377838080.

The previous prime is 122112202120019. The next prime is 122112202120039. The reversal of 122112202120020 is 20021202211221.

It is a happy number.

122112202120020 is a `hidden beast` number, since 1 + 2 + 211 + 220 + 212 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×122112202120020² (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 = 122112202119975 and 122112202120002.

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, 79065861 + ... + 80595500.

It is an arithmetic number, because the mean of its divisors is an integer number (2944581278912).

Almost surely, 2^{122112202120020} is an apocalyptic number.

122112202120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112202120020 is an abundant number, since it is smaller than the sum of its proper divisors (301907502043308).

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

122112202120020 is a wasteful number, since it uses less digits than its factorization.

122112202120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159661990 (or 159661985 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112202120020 its reverse (20021202211221), we get a palindrome (142133404331241).

The spelling of 122112202120020 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two million, one hundred twenty thousand, twenty".