202119113952 has 144 divisors (see below), whose sum is σ = 657066664800. Its totient is φ = 57732535296.

The previous prime is 202119113909. The next prime is 202119113971. The reversal of 202119113952 is 259311911202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×202119113952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8756058 + ... + 8779110.

It is an arithmetic number, because the mean of its divisors is an integer number (4562962950).

Almost surely, 2^202119113952 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 202119113952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328533332400).

202119113952 is an abundant number, since it is smaller than the sum of its proper divisors (454947550848).

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

202119113952 is a wasteful number, since it uses less digits than its factorization.

202119113952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27425 (or 27414 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 202119113952 in words is "two hundred two billion, one hundred nineteen million, one hundred thirteen thousand, nine hundred fifty-two".