1256492915712 has 352 divisors, whose sum is σ = 3837384149760. Its totient is φ = 405938257920.

The previous prime is 1256492915663. The next prime is 1256492915719. The reversal of 1256492915712 is 2175192946521.

1256492915712 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 49 + 29 + 1 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256492915719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121618387 + ... + 121628717.

Almost surely, 2^{1256492915712} is an apocalyptic number.

1256492915712 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 1256492915712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918692074880).

1256492915712 is an abundant number, since it is smaller than the sum of its proper divisors (2580891234048).

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

1256492915712 is a wasteful number, since it uses less digits than its factorization.

1256492915712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10472 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 1256492915712 in words is "one trillion, two hundred fifty-six billion, four hundred ninety-two million, nine hundred fifteen thousand, seven hundred twelve".