1257123680 has 48 divisors (see below), whose sum is σ = 3014308080. Its totient is φ = 495340032.

The previous prime is 1257123661. The next prime is 1257123691. The reversal of 1257123680 is 863217521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1257123680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47915 + ... + 69354.

It is an arithmetic number, because the mean of its divisors is an integer number (62798085).

Almost surely, 2^1257123680 is an apocalyptic number.

1257123680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257123680 is an abundant number, since it is smaller than the sum of its proper divisors (1757184400).

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

1257123680 is a wasteful number, since it uses less digits than its factorization.

1257123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117351 (or 117343 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1257123680 is about 35455.9399818987. The cubic root of 1257123680 is about 1079.2598037381.

The spelling of 1257123680 in words is "one billion, two hundred fifty-seven million, one hundred twenty-three thousand, six hundred eighty".