220120761 has 16 divisors (see below), whose sum is σ = 335765504. Its totient is φ = 125654544.

The previous prime is 220120753. The next prime is 220120783. The reversal of 220120761 is 167021022.

It is not a de Polignac number, because 220120761 - 2³ = 220120753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220120711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18006 + ... + 27648.

It is an arithmetic number, because the mean of its divisors is an integer number (20985344).

Almost surely, 2^220120761 is an apocalyptic number.

220120761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220120761 is a deficient number, since it is larger than the sum of its proper divisors (115644743).

220120761 is a wasteful number, since it uses less digits than its factorization.

220120761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 220120761 is about 14836.4672681875. The cubic root of 220120761 is about 603.7915097334.

Adding to 220120761 its reverse (167021022), we get a palindrome (387141783).

The spelling of 220120761 in words is "two hundred twenty million, one hundred twenty thousand, seven hundred sixty-one".