1220356800 has 672 divisors, whose sum is σ = 5000304960. Its totient is φ = 287539200.

The previous prime is 1220356777. The next prime is 1220356817. The reversal of 1220356800 is 86530221.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 23025574 + ... + 23025626.

It is an arithmetic number, because the mean of its divisors is an integer number (7440930).

Almost surely, 2^1220356800 is an apocalyptic number.

1220356800 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 1220356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500152480).

1220356800 is an abundant number, since it is smaller than the sum of its proper divisors (3779948160).

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

1220356800 is a wasteful number, since it uses less digits than its factorization.

1220356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1220356800 is about 34933.6055969034. The cubic root of 1220356800 is about 1068.6338870470.

The spelling of 1220356800 in words is "one billion, two hundred twenty million, three hundred fifty-six thousand, eight hundred".