1220042880 has 192 divisors, whose sum is σ = 4814971200. Its totient is φ = 278857728.

The previous prime is 1220042861. The next prime is 1220042891. The reversal of 1220042880 is 882400221.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25191 + ... + 55449.

It is an arithmetic number, because the mean of its divisors is an integer number (25077975).

Almost surely, 2^1220042880 is an apocalyptic number.

1220042880 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 1220042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407485600).

1220042880 is an abundant number, since it is smaller than the sum of its proper divisors (3594928320).

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

1220042880 is a wasteful number, since it uses less digits than its factorization.

1220042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30291 (or 30276 counting only the distinct ones).

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

The square root of 1220042880 is about 34929.1122131668. The cubic root of 1220042880 is about 1068.5422487330.

The spelling of 1220042880 in words is "one billion, two hundred twenty million, forty-two thousand, eight hundred eighty".