1220172800 has 264 divisors, whose sum is σ = 3776960640. Its totient is φ = 379699200.

The previous prime is 1220172787. The next prime is 1220172817. The reversal of 1220172800 is 82710221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1970891 + ... + 1971509.

Almost surely, 2^1220172800 is an apocalyptic number.

1220172800 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 1220172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888480320).

1220172800 is an abundant number, since it is smaller than the sum of its proper divisors (2556787840).

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

1220172800 is a wasteful number, since it uses less digits than its factorization.

1220172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1220172800 is about 34930.9719303658. The cubic root of 1220172800 is about 1068.5801763840.

The spelling of 1220172800 in words is "one billion, two hundred twenty million, one hundred seventy-two thousand, eight hundred".