220112121201000 has 512 divisors, whose sum is σ = 798421310668800. Its totient is φ = 49446704793600.

The previous prime is 220112121200947. The next prime is 220112121201023. The reversal of 220112121201000 is 102121211022.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 433585321 + ... + 434092679.

It is an arithmetic number, because the mean of its divisors is an integer number (1559416622400).

Almost surely, 2^{220112121201000} is an apocalyptic number.

220112121201000 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 220112121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399210655334400).

220112121201000 is an abundant number, since it is smaller than the sum of its proper divisors (578309189467800).

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

220112121201000 is a wasteful number, since it uses less digits than its factorization.

220112121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507746 (or 507732 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220112121201000 its reverse (102121211022), we get a palindrome (220214242412022).

The spelling of 220112121201000 in words is "two hundred twenty trillion, one hundred twelve billion, one hundred twenty-one million, two hundred one thousand".