112121120221000 has 256 divisors, whose sum is σ = 303630508696320. Its totient is φ = 38299599360000.

The previous prime is 112121120220971. The next prime is 112121120221009. The reversal of 112121120221000 is 122021121211.

It is a super-2 number, since 2×112121120221000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121120221009) 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, 97227790 + ... + 98374210.

It is an arithmetic number, because the mean of its divisors is an integer number (1186056674595).

Almost surely, 2^{112121120221000} is an apocalyptic number.

112121120221000 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 112121120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151815254348160).

112121120221000 is an abundant number, since it is smaller than the sum of its proper divisors (191509388475320).

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

112121120221000 is a wasteful number, since it uses less digits than its factorization.

112121120221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146993 (or 1146979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112121120221000 its reverse (122021121211), we get a palindrome (112243141342211).

The spelling of 112121120221000 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty-one thousand".