122020212220020 has 192 divisors, whose sum is σ = 381321997056000. Its totient is φ = 32392758408192.

The previous prime is 122020212219973. The next prime is 122020212220031. The reversal of 122020212220020 is 20022212020221.

122020212220020 is a `hidden beast` number, since 1 + 220 + 202 + 1 + 2 + 220 + 0 + 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 = 122020212219975 and 122020212220002.

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, 664111926 + ... + 664295634.

It is an arithmetic number, because the mean of its divisors is an integer number (1986052068000).

Almost surely, 2^{122020212220020} is an apocalyptic number.

122020212220020 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 122020212220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190660998528000).

122020212220020 is an abundant number, since it is smaller than the sum of its proper divisors (259301784835980).

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

122020212220020 is a wasteful number, since it uses less digits than its factorization.

122020212220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189239 (or 189231 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122020212220020 its reverse (20022212020221), we get a palindrome (142042424240241).

The spelling of 122020212220020 in words is "one hundred twenty-two trillion, twenty billion, two hundred twelve million, two hundred twenty thousand, twenty".