220112002121000 has 256 divisors, whose sum is σ = 574625743211520. Its totient is φ = 78244177440000.

The previous prime is 220112002120981. The next prime is 220112002121009. The reversal of 220112002121000 is 121200211022.

It is a super-3 number, since 3×220112002121000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220112002121009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95407079 + ... + 97686921.

It is an arithmetic number, because the mean of its divisors is an integer number (2244631809420).

Almost surely, 2^{220112002121000} is an apocalyptic number.

220112002121000 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 220112002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287312871605760).

220112002121000 is an abundant number, since it is smaller than the sum of its proper divisors (354513741090520).

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

220112002121000 is a wasteful number, since it uses less digits than its factorization.

220112002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280073 (or 2280059 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220112002121000 its reverse (121200211022), we get a palindrome (220233202332022).

The spelling of 220112002121000 in words is "two hundred twenty trillion, one hundred twelve billion, two million, one hundred twenty-one thousand".