112220202112000 has 352 divisors, whose sum is σ = 286698581563680. Its totient is φ = 43817055027200.

The previous prime is 112220202111991. The next prime is 112220202112009. The reversal of 112220202112000 is 211202022211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112220202111991) and next prime (112220202112009).

It can be written as a sum of positive squares in 16 ways, for example, as 10328459019264 + 101891743092736 = 3213792^2 + 10094144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220202112009) 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, 1336406016 + ... + 1336489984.

It is an arithmetic number, because the mean of its divisors is an integer number (814484606715).

Almost surely, 2^{112220202112000} is an apocalyptic number.

112220202112000 is a gapful number since it is divisible by the number (10) 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 112220202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143349290781840).

112220202112000 is an abundant number, since it is smaller than the sum of its proper divisors (174478379451680).

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

112220202112000 is an equidigital number, since it uses as much as digits as its factorization.

112220202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84254 (or 84226 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112220202112000 its reverse (211202022211), we get a palindrome (112431404134211).

It can be divided in two parts, 11222020211 and 2000, that added together give a palindrome (11222022211).

The spelling of 112220202112000 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred two million, one hundred twelve thousand".