12665261400 has 96 divisors (see below), whose sum is σ = 42831633600. Its totient is φ = 3070364800.

The previous prime is 12665261377. The next prime is 12665261407. The reversal of 12665261400 is 416256621.

12665261400 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12665261407) 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 23 ways as a sum of consecutive naturals, for example, 952890 + ... + 966089.

It is an arithmetic number, because the mean of its divisors is an integer number (446162850).

Almost surely, 2^12665261400 is an apocalyptic number.

12665261400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12665261400 is an abundant number, since it is smaller than the sum of its proper divisors (30166372200).

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

12665261400 is a wasteful number, since it uses less digits than its factorization.

12665261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919009 (or 1919000 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12665261400 in words is "twelve billion, six hundred sixty-five million, two hundred sixty-one thousand, four hundred".