112101121200 has 480 divisors, whose sum is σ = 396526620672. Its totient is φ = 26947584000.

The previous prime is 112101121157. The next prime is 112101121219. The reversal of 112101121200 is 2121101211.

It is a super-2 number, since 2×112101121200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65136340 + ... + 65138060.

Almost surely, 2^112101121200 is an apocalyptic number.

112101121200 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 112101121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198263310336).

112101121200 is an abundant number, since it is smaller than the sum of its proper divisors (284425499472).

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

112101121200 is a wasteful number, since it uses less digits than its factorization.

112101121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112101121200 its reverse (2121101211), we get a palindrome (114222222411).

The spelling of 112101121200 in words is "one hundred twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred".