220003311312120 has 256 divisors, whose sum is σ = 759031658496000. Its totient is φ = 49971217476096.

The previous prime is 220003311312073. The next prime is 220003311312143. The reversal of 220003311312120 is 21213113300022.

It is a super-3 number, since 3×220003311312120³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

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, 218873809 + ... + 219876671.

It is an arithmetic number, because the mean of its divisors is an integer number (2964967416000).

Almost surely, 2^{220003311312120} is an apocalyptic number.

220003311312120 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 220003311312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379515829248000).

220003311312120 is an abundant number, since it is smaller than the sum of its proper divisors (539028347183880).

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

220003311312120 is a wasteful number, since it uses less digits than its factorization.

220003311312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004522 (or 1004518 counting only the distinct ones).

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

Adding to 220003311312120 its reverse (21213113300022), we get a palindrome (241216424612142).

The spelling of 220003311312120 in words is "two hundred twenty trillion, three billion, three hundred eleven million, three hundred twelve thousand, one hundred twenty".