202123250150112 has 192 divisors, whose sum is σ = 608570719948800. Its totient is φ = 65198091179520.

The previous prime is 202123250150099. The next prime is 202123250150179. The reversal of 202123250150112 is 211051052321202.

202123250150112 is a `hidden beast` number, since 2 + 0 + 2 + 12 + 32 + 501 + 5 + 0 + 112 = 666.

It is a super-2 number, since 2×202123250150112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634273314 + ... + 634591902.

It is an arithmetic number, because the mean of its divisors is an integer number (3169639166400).

Almost surely, 2^{202123250150112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202123250150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304285359974400).

202123250150112 is an abundant number, since it is smaller than the sum of its proper divisors (406447469798688).

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

202123250150112 is a wasteful number, since it uses less digits than its factorization.

202123250150112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342326 (or 342312 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 202123250150112 in words is "two hundred two trillion, one hundred twenty-three billion, two hundred fifty million, one hundred fifty thousand, one hundred twelve".