220233120100000 has 144 divisors (see below), whose sum is σ = 619366010288256. Its totient is φ = 75508498080000.

The previous prime is 220233120099983. The next prime is 220233120100031. The reversal of 220233120100000 is 1021332022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156609372 + ... + 158009371.

It is an arithmetic number, because the mean of its divisors is an integer number (4301152849224).

Almost surely, 2^{220233120100000} is an apocalyptic number.

220233120100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220233120100000 is an abundant number, since it is smaller than the sum of its proper divisors (399132890188256).

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

220233120100000 is an frugal number, since it uses more digits than its factorization.

220233120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314618785 (or 314618757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220233120100000 its reverse (1021332022), we get a palindrome (220234141432022).

The spelling of 220233120100000 in words is "two hundred twenty trillion, two hundred thirty-three billion, one hundred twenty million, one hundred thousand".