1228256800 has 72 divisors (see below), whose sum is σ = 3174898356. Its totient is φ = 462397440.

The previous prime is 1228256791. The next prime is 1228256831. The reversal of 1228256800 is 86528221.

1228256800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 187032976 + 1041223824 = 13676^2 + 32268^2 .

It is a super-2 number, since 2×1228256800² = 3017229533492480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 31557 + ... + 58756.

Almost surely, 2^1228256800 is an apocalyptic number.

1228256800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1228256800 is an abundant number, since it is smaller than the sum of its proper divisors (1946641556).

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

1228256800 is a wasteful number, since it uses less digits than its factorization.

1228256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90350 (or 90337 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1228256800 is about 35046.4948318659. The cubic root of 1228256800 is about 1070.9348687537.

It can be divided in two parts, 122825 and 6800, that multiplied together give a 4-th power (835210000 = 170⁴).

The spelling of 1228256800 in words is "one billion, two hundred twenty-eight million, two hundred fifty-six thousand, eight hundred".