1257222400 has 324 divisors, whose sum is σ = 3828452880. Its totient is φ = 406425600.

The previous prime is 1257222397. The next prime is 1257222427. The reversal of 1257222400 is 42227521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5958295 + ... + 5958505.

Almost surely, 2^1257222400 is an apocalyptic number.

1257222400 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 1257222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914226440).

1257222400 is an abundant number, since it is smaller than the sum of its proper divisors (2571230480).

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

1257222400 is a wasteful number, since it uses less digits than its factorization.

1257222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 1257222400 is about 35457.3321049399. The cubic root of 1257222400 is about 1079.2880538726.

Adding to 1257222400 its reverse (42227521), we get a palindrome (1299449921).

The spelling of 1257222400 in words is "one billion, two hundred fifty-seven million, two hundred twenty-two thousand, four hundred".