1000256325120 has 2400 divisors, whose sum is σ = 4344890248512. Its totient is φ = 218621804544.

The previous prime is 1000256325091. The next prime is 1000256325127. The reversal of 1000256325120 is 215236520001.

It is a happy number.

1000256325120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 5 + 632 + 5 + 1 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000256325127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13702141404 + ... + 13702141476.

Almost surely, 2^{1000256325120} is an apocalyptic number.

1000256325120 is a gapful number since it is divisible by the number (10) 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 1000256325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172445124256).

1000256325120 is an abundant number, since it is smaller than the sum of its proper divisors (3344633923392).

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

1000256325120 is a wasteful number, since it uses less digits than its factorization.

1000256325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1000256325120 in words is "one trillion, two hundred fifty-six million, three hundred twenty-five thousand, one hundred twenty".