1220241920 has 80 divisors (see below), whose sum is σ = 2953237320. Its totient is φ = 483508224.

The previous prime is 1220241863. The next prime is 1220241923. The reversal of 1220241920 is 291420221.

It can be written as a sum of positive squares in 4 ways, for example, as 1095874816 + 124367104 = 33104^2 + 11152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1220241923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276854 + ... + 281226.

Almost surely, 2^1220241920 is an apocalyptic number.

1220241920 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 1220241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476618660).

1220241920 is an abundant number, since it is smaller than the sum of its proper divisors (1732995400).

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

1220241920 is an equidigital number, since it uses as much as digits as its factorization.

1220241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1220241920 is about 34931.9612962112. The cubic root of 1220241920 is about 1068.6003535445.

The spelling of 1220241920 in words is "one billion, two hundred twenty million, two hundred forty-one thousand, nine hundred twenty".