1251400000 has 84 divisors (see below), whose sum is σ = 3104355996. Its totient is φ = 500480000.

The previous prime is 1251399997. The next prime is 1251400019. The reversal of 1251400000 is 41521.

It can be written as a sum of positive squares in 6 ways, for example, as 641507584 + 609892416 = 25328^2 + 24696^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196872 + ... + 203128.

It is an arithmetic number, because the mean of its divisors is an integer number (36956619).

Almost surely, 2^1251400000 is an apocalyptic number.

1251400000 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 1251400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552177998).

1251400000 is an abundant number, since it is smaller than the sum of its proper divisors (1852955996).

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

1251400000 is an frugal number, since it uses more digits than its factorization.

1251400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1251400000 is about 35375.1325085857. The cubic root of 1251400000 is about 1077.6193561113.

Adding to 1251400000 its reverse (41521), we get a palindrome (1251441521).

The spelling of 1251400000 in words is "one billion, two hundred fifty-one million, four hundred thousand".