12004778677584 has 120 divisors (see below), whose sum is σ = 39355183615968. Its totient is φ = 3118124325120.

The previous prime is 12004778677561. The next prime is 12004778677589. The reversal of 12004778677584 is 48577687740021.

It is a super-2 number, since 2×12004778677584² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004778677589) by changing a digit.

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, 231977427 + ... + 232029170.

Almost surely, 2^{12004778677584} is an apocalyptic number.

12004778677584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12004778677584 is an abundant number, since it is smaller than the sum of its proper divisors (27350404938384).

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

12004778677584 is a wasteful number, since it uses less digits than its factorization.

12004778677584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464006633 (or 464006620 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 66.

The spelling of 12004778677584 in words is "twelve trillion, four billion, seven hundred seventy-eight million, six hundred seventy-seven thousand, five hundred eighty-four".