1256237515120 has 80 divisors (see below), whose sum is σ = 3347908095168. Its totient is φ = 429431869440.

The previous prime is 1256237515111. The next prime is 1256237515129. The reversal of 1256237515120 is 215157326521.

It is an interprime number because it is at equal distance from previous prime (1256237515111) and next prime (1256237515129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1256237515120³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256237515129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3139591 + ... + 3517030.

Almost surely, 2^{1256237515120} is an apocalyptic number.

1256237515120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256237515120 is an abundant number, since it is smaller than the sum of its proper divisors (2091670580048).

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

1256237515120 is a wasteful number, since it uses less digits than its factorization.

1256237515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656978 (or 6656972 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 1256237515120 in words is "one trillion, two hundred fifty-six billion, two hundred thirty-seven million, five hundred fifteen thousand, one hundred twenty".