12701514312 has 128 divisors (see below), whose sum is σ = 36306144000. Its totient is φ = 4111879680.

The previous prime is 12701514311. The next prime is 12701514313. The reversal of 12701514312 is 21341510721.

12701514312 is a `hidden beast` number, since 12 + 70 + 151 + 431 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12701514311) and next prime (12701514313).

It is a super-2 number, since 2×12701514312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12701514311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2024893 + ... + 2031155.

It is an arithmetic number, because the mean of its divisors is an integer number (283641750).

Almost surely, 2^12701514312 is an apocalyptic number.

12701514312 is a gapful number since it is divisible by the number (12) 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 12701514312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153072000).

12701514312 is an abundant number, since it is smaller than the sum of its proper divisors (23604629688).

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

12701514312 is a wasteful number, since it uses less digits than its factorization.

12701514312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 12701514312 in words is "twelve billion, seven hundred one million, five hundred fourteen thousand, three hundred twelve".