1252488121680 has 160 divisors (see below), whose sum is σ = 3985876744704. Its totient is φ = 325196218368.

The previous prime is 1252488121657. The next prime is 1252488121757. The reversal of 1252488121680 is 861218842521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1889382 + ... + 2464698.

Almost surely, 2^{1252488121680} is an apocalyptic number.

1252488121680 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 1252488121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992938372352).

1252488121680 is an abundant number, since it is smaller than the sum of its proper divisors (2733388623024).

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

1252488121680 is a wasteful number, since it uses less digits than its factorization.

1252488121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575573 (or 575567 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 1252488121680 in words is "one trillion, two hundred fifty-two billion, four hundred eighty-eight million, one hundred twenty-one thousand, six hundred eighty".