12392540160 has 1152 divisors, whose sum is σ = 55250657280. Its totient is φ = 2300313600.

The previous prime is 12392540143. The next prime is 12392540177. The reversal of 12392540160 is 6104529321.

It is an interprime number because it is at equal distance from previous prime (12392540143) and next prime (12392540177).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 399759345 + ... + 399759375.

It is an arithmetic number, because the mean of its divisors is an integer number (47960640).

Almost surely, 2^12392540160 is an apocalyptic number.

12392540160 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 12392540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27625328640).

12392540160 is an abundant number, since it is smaller than the sum of its proper divisors (42858117120).

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

12392540160 is a wasteful number, since it uses less digits than its factorization.

12392540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 12392540160 in words is "twelve billion, three hundred ninety-two million, five hundred forty thousand, one hundred sixty".