220112222021300 has 432 divisors, whose sum is σ = 572383861182000. Its totient is φ = 73234208194560.

The previous prime is 220112222021297. The next prime is 220112222021339. The reversal of 220112222021300 is 3120222211022.

It can be written as a sum of positive squares in 24 ways, for example, as 163006451690404 + 57105770330896 = 12767398^2 + 7556836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5537533826 + ... + 5537573574.

It is an arithmetic number, because the mean of its divisors is an integer number (1324962641625).

Almost surely, 2^{220112222021300} is an apocalyptic number.

220112222021300 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 220112222021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286191930591000).

220112222021300 is an abundant number, since it is smaller than the sum of its proper divisors (352271639160700).

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

220112222021300 is a wasteful number, since it uses less digits than its factorization.

220112222021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40100 (or 40086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 220112222021300 its reverse (3120222211022), we get a palindrome (223232444232322).

The spelling of 220112222021300 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred twenty-two million, twenty-one thousand, three hundred".