202012972082152 has 256 divisors, whose sum is σ = 508423197081600. Its totient is φ = 72928871009280.

The previous prime is 202012972082149. The next prime is 202012972082219. The reversal of 202012972082152 is 251280279210202.

It is a super-2 number, since 2×202012972082152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202012972082099 and 202012972082108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57618718 + ... + 61024114.

It is an arithmetic number, because the mean of its divisors is an integer number (1986028113600).

Almost surely, 2^{202012972082152} is an apocalyptic number.

202012972082152 is a gapful number since it is divisible by the number (22) 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 202012972082152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254211598540800).

202012972082152 is an abundant number, since it is smaller than the sum of its proper divisors (306410224999448).

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

202012972082152 is a wasteful number, since it uses less digits than its factorization.

202012972082152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405576 (or 3405572 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 202012972082152 in words is "two hundred two trillion, twelve billion, nine hundred seventy-two million, eighty-two thousand, one hundred fifty-two".