120021022022202 has 144 divisors (see below), whose sum is σ = 302985158902920. Its totient is φ = 34236988740864.

The previous prime is 120021022022183. The next prime is 120021022022243. The reversal of 120021022022202 is 202220220120021.

120021022022202 is a `hidden beast` number, since 1 + 200 + 21 + 0 + 220 + 2 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117272850489081 + 2748171533121 = 10829259^2 + 1657761^2 .

It is a super-2 number, since 2×120021022022202² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1439249124 + ... + 1439332512.

Almost surely, 2^{120021022022202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120021022022202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151492579451460).

120021022022202 is an abundant number, since it is smaller than the sum of its proper divisors (182964136880718).

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

120021022022202 is a wasteful number, since it uses less digits than its factorization.

120021022022202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85997 (or 85987 counting only the distinct ones).

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

Adding to 120021022022202 its reverse (202220220120021), we get a palindrome (322241242142223).

The spelling of 120021022022202 in words is "one hundred twenty trillion, twenty-one billion, twenty-two million, twenty-two thousand, two hundred two".