220202223120 has 480 divisors, whose sum is σ = 840240221184. Its totient is φ = 51196723200.

The previous prime is 220202223107. The next prime is 220202223193. The reversal of 220202223120 is 21322202022.

220202223120 is a `hidden beast` number, since 220 + 202 + 223 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220202223093 and 220202223102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27739792 + ... + 27747728.

Almost surely, 2^220202223120 is an apocalyptic number.

220202223120 is a gapful number since it is divisible by the number (20) 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 220202223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420120110592).

220202223120 is an abundant number, since it is smaller than the sum of its proper divisors (620037998064).

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

220202223120 is a wasteful number, since it uses less digits than its factorization.

220202223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8111 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220202223120 its reverse (21322202022), we get a palindrome (241524425142).

The spelling of 220202223120 in words is "two hundred twenty billion, two hundred two million, two hundred twenty-three thousand, one hundred twenty".