201123967632 has 120 divisors (see below), whose sum is σ = 612049219200. Its totient is φ = 56736546048.

The previous prime is 201123967579. The next prime is 201123967657. The reversal of 201123967632 is 236769321102.

201123967632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355407 + ... + 727022.

It is an arithmetic number, because the mean of its divisors is an integer number (5100410160).

Almost surely, 2^201123967632 is an apocalyptic number.

It is an amenable number.

201123967632 is an abundant number, since it is smaller than the sum of its proper divisors (410925251568).

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

201123967632 is a wasteful number, since it uses less digits than its factorization.

201123967632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082533 (or 1082520 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 201123967632 in words is "two hundred one billion, one hundred twenty-three million, nine hundred sixty-seven thousand, six hundred thirty-two".