1253126290272 has 24 divisors (see below), whose sum is σ = 3289456512216. Its totient is φ = 417708763392.

The previous prime is 1253126290267. The next prime is 1253126290303. The reversal of 1253126290272 is 2720926213521.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6526699333 + ... + 6526699524.

It is an arithmetic number, because the mean of its divisors is an integer number (137060688009).

Almost surely, 2^{1253126290272} is an apocalyptic number.

1253126290272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1253126290272 is an abundant number, since it is smaller than the sum of its proper divisors (2036330221944).

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

1253126290272 is a wasteful number, since it uses less digits than its factorization.

1253126290272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053398870 (or 13053398862 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1253126290272 in words is "one trillion, two hundred fifty-three billion, one hundred twenty-six million, two hundred ninety thousand, two hundred seventy-two".