1257213120 has 224 divisors, whose sum is σ = 4215310848. Its totient is φ = 316833792.

The previous prime is 1257213103. The next prime is 1257213127. The reversal of 1257213120 is 213127521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1257213127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141467 + ... + 2142053.

It is an arithmetic number, because the mean of its divisors is an integer number (18818352).

Almost surely, 2^1257213120 is an apocalyptic number.

1257213120 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 1257213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107655424).

1257213120 is an abundant number, since it is smaller than the sum of its proper divisors (2958097728).

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

1257213120 is a wasteful number, since it uses less digits than its factorization.

1257213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1257213120 is about 35457.2012431889. The cubic root of 1257213120 is about 1079.2853983313.

The spelling of 1257213120 in words is "one billion, two hundred fifty-seven million, two hundred thirteen thousand, one hundred twenty".