1257218352400 has 30 divisors (see below), whose sum is σ = 3020467092602. Its totient is φ = 502887340800.

The previous prime is 1257218352353. The next prime is 1257218352443. The reversal of 1257218352400 is 42538127521.

It can be written as a sum of positive squares in 3 ways, for example, as 79246754064 + 1177971598336 = 281508^2 + 1085344^2 .

It is a super-2 number, since 2×1257218352400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1571522541 + ... + 1571523340.

Almost surely, 2^{1257218352400} is an apocalyptic number.

1257218352400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257218352400 is an abundant number, since it is smaller than the sum of its proper divisors (1763248740202).

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

1257218352400 is a wasteful number, since it uses less digits than its factorization.

1257218352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143045899 (or 3143045888 counting only the distinct ones).

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

The spelling of 1257218352400 in words is "one trillion, two hundred fifty-seven billion, two hundred eighteen million, three hundred fifty-two thousand, four hundred".