220120121021022 has 48 divisors (see below), whose sum is σ = 482862200869152. Its totient is φ = 72463914705600.

The previous prime is 220120121021011. The next prime is 220120121021033.

It is a happy number.

220120121021022 is a `hidden beast` number, since 2 + 20 + 1 + 201 + 210 + 210 + 22 = 666.

220120121021022 is nontrivially palindromic in base 10.

220120121021022 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220120121021011) and next prime (220120121021033).

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 = 220120121020986 and 220120121021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151769658 + ... + 153213149.

It is an arithmetic number, because the mean of its divisors is an integer number (10059629184774).

Almost surely, 2^{220120121021022} is an apocalyptic number.

220120121021022 is an abundant number, since it is smaller than the sum of its proper divisors (262742079848130).

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

220120121021022 is a wasteful number, since it uses less digits than its factorization.

220120121021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304983313 (or 304983310 counting only the distinct ones).

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

The spelling of 220120121021022 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, twenty-two".