12177916000 has 384 divisors, whose sum is σ = 33625912320. Its totient is φ = 4313088000.

The previous prime is 12177915923. The next prime is 12177916027. The reversal of 12177916000 is 61977121.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111723946 + ... + 111724054.

It is an arithmetic number, because the mean of its divisors is an integer number (87567480).

Almost surely, 2^12177916000 is an apocalyptic number.

12177916000 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 12177916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812956160).

12177916000 is an abundant number, since it is smaller than the sum of its proper divisors (21447996320).

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

12177916000 is a wasteful number, since it uses less digits than its factorization.

12177916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 34.

The spelling of 12177916000 in words is "twelve billion, one hundred seventy-seven million, nine hundred sixteen thousand".