1220284800 has 288 divisors, whose sum is σ = 4977114480. Its totient is φ = 278876160.

The previous prime is 1220284799. The next prime is 1220284801. The reversal of 1220284800 is 84820221.

It is an interprime number because it is at equal distance from previous prime (1220284799) and next prime (1220284801).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1220284800² = 2978189986222080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220284801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198574 + ... + 204626.

Almost surely, 2^1220284800 is an apocalyptic number.

1220284800 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 1220284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488557240).

1220284800 is an abundant number, since it is smaller than the sum of its proper divisors (3756829680).

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

1220284800 is a wasteful number, since it uses less digits than its factorization.

1220284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1220284800 is about 34932.5750553835. The cubic root of 1220284800 is about 1068.6128704740.

The spelling of 1220284800 in words is "one billion, two hundred twenty million, two hundred eighty-four thousand, eight hundred".