1312076614032 has 360 divisors, whose sum is σ = 3938294790144. Its totient is φ = 407689371648.

The previous prime is 1312076614027. The next prime is 1312076614073. The reversal of 1312076614032 is 2304166702131.

1312076614032 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 7 + 6 + 614 + 0 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3425787313 + ... + 3425787695.

Almost surely, 2^{1312076614032} is an apocalyptic number.

1312076614032 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 1312076614032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969147395072).

1312076614032 is an abundant number, since it is smaller than the sum of its proper divisors (2626218176112).

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

1312076614032 is a wasteful number, since it uses less digits than its factorization.

1312076614032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1312076614032 in words is "one trillion, three hundred twelve billion, seventy-six million, six hundred fourteen thousand, thirty-two".