12140877456 has 200 divisors, whose sum is σ = 36184246560. Its totient is φ = 3928379904.

The previous prime is 12140877389. The next prime is 12140877457. The reversal of 12140877456 is 65477804121.

12140877456 is a `hidden beast` number, since 121 + 4 + 0 + 8 + 77 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (12140877457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6345556 + ... + 6347468.

Almost surely, 2^12140877456 is an apocalyptic number.

12140877456 is a gapful number since it is divisible by the number (16) 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 12140877456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18092123280).

12140877456 is an abundant number, since it is smaller than the sum of its proper divisors (24043369104).

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

12140877456 is a wasteful number, since it uses less digits than its factorization.

12140877456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12140877456 in words is "twelve billion, one hundred forty million, eight hundred seventy-seven thousand, four hundred fifty-six".