1220017920 has 288 divisors, whose sum is σ = 4503340800. Its totient is φ = 278200320.

The previous prime is 1220017901. The next prime is 1220017951. The reversal of 1220017920 is 297100221.

It is a super-2 number, since 2×1220017920² = 2976887450242252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717231 + ... + 718929.

It is an arithmetic number, because the mean of its divisors is an integer number (15636600).

Almost surely, 2^1220017920 is an apocalyptic number.

1220017920 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 1220017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251670400).

1220017920 is an abundant number, since it is smaller than the sum of its proper divisors (3283322880).

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

1220017920 is a wasteful number, since it uses less digits than its factorization.

1220017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1220017920 is about 34928.7549162578. The cubic root of 1220017920 is about 1068.5349618317.

It can be divided in two parts, 122001 and 7920, that added together give a palindrome (129921).

The spelling of 1220017920 in words is "one billion, two hundred twenty million, seventeen thousand, nine hundred twenty".