112121033000 has 128 divisors (see below), whose sum is σ = 276475680000. Its totient is φ = 42441235200.

The previous prime is 112121032987. The next prime is 112121033041. The reversal of 112121033000 is 330121211.

It is a super-2 number, since 2×112121033000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20764301 + ... + 20769699.

It is an arithmetic number, because the mean of its divisors is an integer number (2159966250).

Almost surely, 2^112121033000 is an apocalyptic number.

112121033000 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 112121033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138237840000).

112121033000 is an abundant number, since it is smaller than the sum of its proper divisors (164354647000).

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

112121033000 is a wasteful number, since it uses less digits than its factorization.

112121033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112121033000 its reverse (330121211), we get a palindrome (112451154211).

The spelling of 112121033000 in words is "one hundred twelve billion, one hundred twenty-one million, thirty-three thousand".