1220025120 has 96 divisors (see below), whose sum is σ = 3860353728. Its totient is φ = 323877888.

The previous prime is 1220025109. The next prime is 1220025143. The reversal of 1220025120 is 215200221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1220025120² = 2976922586862028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220025120.

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 15 ways as a sum of consecutive naturals, for example, 103362 + ... + 114558.

It is an arithmetic number, because the mean of its divisors is an integer number (40212018).

Almost surely, 2^1220025120 is an apocalyptic number.

1220025120 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 1220025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930176864).

1220025120 is an abundant number, since it is smaller than the sum of its proper divisors (2640328608).

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

1220025120 is a wasteful number, since it uses less digits than its factorization.

1220025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1220025120 is about 34928.8579830489. The cubic root of 1220025120 is about 1068.5370638326.

Adding to 1220025120 its reverse (215200221), we get a palindrome (1435225341).

The spelling of 1220025120 in words is "one billion, two hundred twenty million, twenty-five thousand, one hundred twenty".