204071132000 has 96 divisors (see below), whose sum is σ = 514954571040. Its totient is φ = 79422220800.

The previous prime is 204071131981. The next prime is 204071132039. The reversal of 204071132000 is 231170402.

204071132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204071132000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 541430 + ... + 837429.

It is an arithmetic number, because the mean of its divisors is an integer number (5364110115).

Almost surely, 2^204071132000 is an apocalyptic number.

204071132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204071132000 is an abundant number, since it is smaller than the sum of its proper divisors (310883439040).

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

204071132000 is a wasteful number, since it uses less digits than its factorization.

204071132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378921 (or 1378903 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The spelling of 204071132000 in words is "two hundred four billion, seventy-one million, one hundred thirty-two thousand".