12977172000 has 864 divisors, whose sum is σ = 52373018880. Its totient is φ = 3153945600.

The previous prime is 12977171993. The next prime is 12977172011. The reversal of 12977172000 is 27177921.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164267961 + ... + 164268039.

It is an arithmetic number, because the mean of its divisors is an integer number (60616920).

Almost surely, 2^12977172000 is an apocalyptic number.

12977172000 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 12977172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26186509440).

12977172000 is an abundant number, since it is smaller than the sum of its proper divisors (39395846880).

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

12977172000 is an equidigital number, since it uses as much as digits as its factorization.

12977172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 12977172000 in words is "twelve billion, nine hundred seventy-seven million, one hundred seventy-two thousand".