202012210031220 has 240 divisors, whose sum is σ = 638400899561040. Its totient is φ = 53472068683776.

The previous prime is 202012210031209. The next prime is 202012210031239. The reversal of 202012210031220 is 22130012210202.

202012210031220 is a `hidden beast` number, since 2 + 0 + 201 + 2 + 210 + 0 + 31 + 220 = 666.

202012210031220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23907757877136 + 178104452154084 = 4889556^2 + 13345578^2 .

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 = 202012210031193 and 202012210031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3106461666 + ... + 3106526694.

It is an arithmetic number, because the mean of its divisors is an integer number (2660003748171).

Almost surely, 2^{202012210031220} is an apocalyptic number.

202012210031220 is a gapful number since it is divisible by the number (20) 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 202012210031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319200449780520).

202012210031220 is an abundant number, since it is smaller than the sum of its proper divisors (436388689529820).

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

202012210031220 is a wasteful number, since it uses less digits than its factorization.

202012210031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79184 (or 79173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202012210031220 its reverse (22130012210202), we get a palindrome (224142222241422).

The spelling of 202012210031220 in words is "two hundred two trillion, twelve billion, two hundred ten million, thirty-one thousand, two hundred twenty".