220213331112000 has 896 divisors, whose sum is σ = 748240058861568. Its totient is φ = 57046809600000.

The previous prime is 220213331111987. The next prime is 220213331112079. The reversal of 220213331112000 is 211133312022.

It is a super-2 number, since 2×220213331112000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97829110875 + ... + 97829113125.

It is an arithmetic number, because the mean of its divisors is an integer number (835089351408).

Almost surely, 2^{220213331112000} is an apocalyptic number.

220213331112000 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 220213331112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374120029430784).

220213331112000 is an abundant number, since it is smaller than the sum of its proper divisors (528026727749568).

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

220213331112000 is a wasteful number, since it uses less digits than its factorization.

220213331112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 220213331112000 its reverse (211133312022), we get a palindrome (220424464424022).

The spelling of 220213331112000 in words is "two hundred twenty trillion, two hundred thirteen billion, three hundred thirty-one million, one hundred twelve thousand".