122010222202020 has 144 divisors (see below), whose sum is σ = 382175329536000. Its totient is φ = 31475051193600.

The previous prime is 122010222202013. The next prime is 122010222202069. The reversal of 122010222202020 is 20202222010221.

122010222202020 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 22 + 220 + 202 + 0 = 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 = 122010222201984 and 122010222202002.

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, 11362405 + ... + 19316435.

It is an arithmetic number, because the mean of its divisors is an integer number (2653995344000).

Almost surely, 2^{122010222202020} is an apocalyptic number.

122010222202020 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 122010222202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191087664768000).

122010222202020 is an abundant number, since it is smaller than the sum of its proper divisors (260165107333980).

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

122010222202020 is a wasteful number, since it uses less digits than its factorization.

122010222202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956826 (or 7956821 counting only the distinct ones).

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

Adding to 122010222202020 its reverse (20202222010221), we get a palindrome (142212444212241).

The spelling of 122010222202020 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty-two million, two hundred two thousand, twenty".