220112312001300 has 576 divisors, whose sum is σ = 751320017441280. Its totient is φ = 55091073024000.

The previous prime is 220112312001269. The next prime is 220112312001341. The reversal of 220112312001300 is 3100213211022.

220112312001300 is a `hidden beast` number, since 2 + 20 + 112 + 31 + 200 + 1 + 300 = 666.

It is a super-2 number, since 2×220112312001300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34603410120 + ... + 34603416480.

It is an arithmetic number, because the mean of its divisors is an integer number (1304375030280).

Almost surely, 2^{220112312001300} is an apocalyptic number.

220112312001300 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 220112312001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375660008720640).

220112312001300 is an abundant number, since it is smaller than the sum of its proper divisors (531207705439980).

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

220112312001300 is a wasteful number, since it uses less digits than its factorization.

220112312001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220112312001300 its reverse (3100213211022), we get a palindrome (223212525212322).

The spelling of 220112312001300 in words is "two hundred twenty trillion, one hundred twelve billion, three hundred twelve million, one thousand, three hundred".