204120031140 has 72 divisors (see below), whose sum is σ = 619442099640. Its totient is φ = 54407568384.

The previous prime is 204120031139. The next prime is 204120031153. The reversal of 204120031140 is 41130021402.

204120031140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37856706624 + 166263324516 = 194568^2 + 407754^2 .

It is a super-2 number, since 2×204120031140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 149196 + ... + 656124.

It is an arithmetic number, because the mean of its divisors is an integer number (8603362495).

Almost surely, 2^204120031140 is an apocalyptic number.

204120031140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204120031140 is an abundant number, since it is smaller than the sum of its proper divisors (415322068500).

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

204120031140 is a wasteful number, since it uses less digits than its factorization.

204120031140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509181 (or 509176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 204120031140 its reverse (41130021402), we get a palindrome (245250052542).

The spelling of 204120031140 in words is "two hundred four billion, one hundred twenty million, thirty-one thousand, one hundred forty".