1220032101120 has 288 divisors, whose sum is σ = 4515844193280. Its totient is φ = 274936381440.

The previous prime is 1220032101097. The next prime is 1220032101133. The reversal of 1220032101120 is 211012300221.

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 1220032101120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588846 + ... + 2228114.

It is an arithmetic number, because the mean of its divisors is an integer number (15680014560).

Almost surely, 2^{1220032101120} is an apocalyptic number.

1220032101120 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 1220032101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257922096640).

1220032101120 is an abundant number, since it is smaller than the sum of its proper divisors (3295812092160).

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

1220032101120 is an equidigital number, since it uses as much as digits as its factorization.

1220032101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639371 (or 639357 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1220032101120 its reverse (211012300221), we get a palindrome (1431044401341).

The spelling of 1220032101120 in words is "one trillion, two hundred twenty billion, thirty-two million, one hundred one thousand, one hundred twenty".