220033211010120 has 256 divisors, whose sum is σ = 755900183808000. Its totient is φ = 56898665042688.

The previous prime is 220033211010103. The next prime is 220033211010131. The reversal of 220033211010120 is 21010112330022.

220033211010120 is a `hidden beast` number, since 2 + 200 + 3 + 321 + 10 + 10 + 120 = 666.

It is a super-2 number, since 2×220033211010120² (a number of 29 digits) contains 22 as substring.

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 = 220033211010093 and 220033211010102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10588044 + ... + 23498363.

It is an arithmetic number, because the mean of its divisors is an integer number (2952735093000).

Almost surely, 2^{220033211010120} is an apocalyptic number.

220033211010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220033211010120 is an abundant number, since it is smaller than the sum of its proper divisors (535866972797880).

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

220033211010120 is a wasteful number, since it uses less digits than its factorization.

220033211010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34086609 (or 34086599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220033211010120 its reverse (21010112330022), we get a palindrome (241043323340142).

The spelling of 220033211010120 in words is "two hundred twenty trillion, thirty-three billion, two hundred eleven million, ten thousand, one hundred twenty".