1257170217072 has 160 divisors (see below), whose sum is σ = 4089158705664. Its totient is φ = 323304576000.

The previous prime is 1257170217047. The next prime is 1257170217109. The reversal of 1257170217072 is 2707120717521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310583 + ... + 2057174.

Almost surely, 2^{1257170217072} is an apocalyptic number.

1257170217072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1257170217072 is an abundant number, since it is smaller than the sum of its proper divisors (2831988488592).

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

1257170217072 is a wasteful number, since it uses less digits than its factorization.

1257170217072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367887 (or 3367881 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 42.

The spelling of 1257170217072 in words is "one trillion, two hundred fifty-seven billion, one hundred seventy million, two hundred seventeen thousand, seventy-two".