1257657015120 has 320 divisors, whose sum is σ = 4631403571200. Its totient is φ = 278879569920.

The previous prime is 1257657015113. The next prime is 1257657015127. The reversal of 1257657015120 is 215107567521.

It is an interprime number because it is at equal distance from previous prime (1257657015113) and next prime (1257657015127).

It is a super-2 number, since 2×1257657015120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257657015127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1022349 + ... + 1886931.

It is an arithmetic number, because the mean of its divisors is an integer number (14473136160).

Almost surely, 2^{1257657015120} is an apocalyptic number.

1257657015120 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 1257657015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315701785600).

1257657015120 is an abundant number, since it is smaller than the sum of its proper divisors (3373746556080).

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

1257657015120 is a wasteful number, since it uses less digits than its factorization.

1257657015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864658 (or 864652 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 42.

The spelling of 1257657015120 in words is "one trillion, two hundred fifty-seven billion, six hundred fifty-seven million, fifteen thousand, one hundred twenty".