220002120312 has 128 divisors (see below), whose sum is σ = 607356960000. Its totient is φ = 65994559488.

The previous prime is 220002120311. The next prime is 220002120329. The reversal of 220002120312 is 213021200022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220002120291 and 220002120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002120311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973439 + ... + 2081937.

It is an arithmetic number, because the mean of its divisors is an integer number (4744976250).

Almost surely, 2^220002120312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220002120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303678480000).

220002120312 is an abundant number, since it is smaller than the sum of its proper divisors (387354839688).

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

220002120312 is a wasteful number, since it uses less digits than its factorization.

220002120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108685 (or 108681 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220002120312 its reverse (213021200022), we get a palindrome (433023320334).

The spelling of 220002120312 in words is "two hundred twenty billion, two million, one hundred twenty thousand, three hundred twelve".