1253756712120 has 192 divisors, whose sum is σ = 4230437016960. Its totient is φ = 296872477440.

The previous prime is 1253756712101. The next prime is 1253756712133. The reversal of 1253756712120 is 212176573521.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379674 + ... + 1628393.

It is an arithmetic number, because the mean of its divisors is an integer number (22033526130).

Almost surely, 2^{1253756712120} is an apocalyptic number.

1253756712120 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 1253756712120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115218508480).

1253756712120 is an abundant number, since it is smaller than the sum of its proper divisors (2976680304840).

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

1253756712120 is a wasteful number, since it uses less digits than its factorization.

1253756712120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008146 (or 2008131 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 1253756712120 in words is "one trillion, two hundred fifty-three billion, seven hundred fifty-six million, seven hundred twelve thousand, one hundred twenty".