12177285120 has 1344 divisors, whose sum is σ = 58569880320. Its totient is φ = 2335703040.

The previous prime is 12177285103. The next prime is 12177285137. The reversal of 12177285120 is 2158277121.

It is an interprime number because it is at equal distance from previous prime (12177285103) and next prime (12177285137).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 936714234 + ... + 936714246.

It is an arithmetic number, because the mean of its divisors is an integer number (43578780).

Almost surely, 2^12177285120 is an apocalyptic number.

12177285120 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 12177285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29284940160).

12177285120 is an abundant number, since it is smaller than the sum of its proper divisors (46392595200).

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

12177285120 is a wasteful number, since it uses less digits than its factorization.

12177285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 12177285120 in words is "twelve billion, one hundred seventy-seven million, two hundred eighty-five thousand, one hundred twenty".