12077657000 has 128 divisors (see below), whose sum is σ = 29084590080. Its totient is φ = 4691520000.

The previous prime is 12077656991. The next prime is 12077657027. The reversal of 12077657000 is 75677021.

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 31 ways as a sum of consecutive naturals, for example, 11110457 + ... + 11111543.

It is an arithmetic number, because the mean of its divisors is an integer number (227223360).

Almost surely, 2^12077657000 is an apocalyptic number.

12077657000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12077657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14542295040).

12077657000 is an abundant number, since it is smaller than the sum of its proper divisors (17006933080).

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

12077657000 is a wasteful number, since it uses less digits than its factorization.

12077657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The spelling of 12077657000 in words is "twelve billion, seventy-seven million, six hundred fifty-seven thousand".