12400782075 has 240 divisors, whose sum is σ = 26359027200. Its totient is φ = 5731689600.

The previous prime is 12400782067. The next prime is 12400782077. The reversal of 12400782075 is 57028700421.

It is not a de Polignac number, because 12400782075 - 2³ = 12400782067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400782077) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 156971886 + ... + 156971964.

It is an arithmetic number, because the mean of its divisors is an integer number (109829280).

Almost surely, 2^12400782075 is an apocalyptic number.

12400782075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12400782075 is an abundant number, since it is smaller than the sum of its proper divisors (13958245125).

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

12400782075 is an frugal number, since it uses more digits than its factorization.

12400782075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 12400782075 in words is "twelve billion, four hundred million, seven hundred eighty-two thousand, seventy-five".