1252580314720 has 192 divisors, whose sum is σ = 3457310967936. Its totient is φ = 419970170880.

The previous prime is 1252580314717. The next prime is 1252580314721. The reversal of 1252580314720 is 274130852521.

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 (1252580314721) 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 31 ways as a sum of consecutive naturals, for example, 11766372 + ... + 11872348.

It is an arithmetic number, because the mean of its divisors is an integer number (18006827958).

Almost surely, 2^{1252580314720} is an apocalyptic number.

1252580314720 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 1252580314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728655483968).

1252580314720 is an abundant number, since it is smaller than the sum of its proper divisors (2204730653216).

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

1252580314720 is a wasteful number, since it uses less digits than its factorization.

1252580314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106233 (or 106225 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 1252580314720 in words is "one trillion, two hundred fifty-two billion, five hundred eighty million, three hundred fourteen thousand, seven hundred twenty".