1256009200 has 60 divisors (see below), whose sum is σ = 3081811680. Its totient is φ = 491706880.

The previous prime is 1256009197. The next prime is 1256009201. The reversal of 1256009200 is 29006521.

It is a super-2 number, since 2×1256009200² = 3155118220969280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256009201) 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 11 ways as a sum of consecutive naturals, for example, 14605 + ... + 52204.

It is an arithmetic number, because the mean of its divisors is an integer number (51363528).

Almost surely, 2^1256009200 is an apocalyptic number.

1256009200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256009200 is an abundant number, since it is smaller than the sum of its proper divisors (1825802480).

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

1256009200 is a wasteful number, since it uses less digits than its factorization.

1256009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66874 (or 66863 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1256009200 is about 35440.2200896101. The cubic root of 1256009200 is about 1078.9407767655.

The spelling of 1256009200 in words is "one billion, two hundred fifty-six million, nine thousand, two hundred".