12400945272 has 24 divisors (see below), whose sum is σ = 33585893640. Its totient is φ = 4133648400.

The previous prime is 12400945243. The next prime is 12400945279. The reversal of 12400945272 is 27254900421.

12400945272 is a `hidden beast` number, since 1 + 2 + 40 + 0 + 94 + 527 + 2 = 666.

12400945272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400945279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86117604 + ... + 86117747.

It is an arithmetic number, because the mean of its divisors is an integer number (1399412235).

Almost surely, 2^12400945272 is an apocalyptic number.

12400945272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12400945272 is an abundant number, since it is smaller than the sum of its proper divisors (21184948368).

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

12400945272 is a wasteful number, since it uses less digits than its factorization.

12400945272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172235363 (or 172235356 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12400945272 in words is "twelve billion, four hundred million, nine hundred forty-five thousand, two hundred seventy-two".