12077073000 has 512 divisors, whose sum is σ = 44281036800. Its totient is φ = 3040416000.

The previous prime is 12077072993. The next prime is 12077073049. The reversal of 12077073000 is 37077021.

12077073000 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 (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 39338847 + ... + 39339153.

It is an arithmetic number, because the mean of its divisors is an integer number (86486400).

Almost surely, 2^12077073000 is an apocalyptic number.

12077073000 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 12077073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140518400).

12077073000 is an abundant number, since it is smaller than the sum of its proper divisors (32203963800).

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

12077073000 is a wasteful number, since it uses less digits than its factorization.

12077073000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The spelling of 12077073000 in words is "twelve billion, seventy-seven million, seventy-three thousand".