112121011221200 has 60 divisors (see below), whose sum is σ = 269754996509388. Its totient is φ = 44784426624000.

The previous prime is 112121011221179. The next prime is 112121011221209. The reversal of 112121011221200 is 2122110121211.

It can be written as a sum of positive squares in 6 ways, for example, as 26617269904 + 112094393951296 = 163148^2 + 10587464^2 .

It is a super-2 number, since 2×112121011221200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121011221209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199650077 + ... + 200210876.

Almost surely, 2^{112121011221200} is an apocalyptic number.

112121011221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121011221200 is an abundant number, since it is smaller than the sum of its proper divisors (157633985288188).

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

112121011221200 is a wasteful number, since it uses less digits than its factorization.

112121011221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399861672 (or 399861661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112121011221200 its reverse (2122110121211), we get a palindrome (114243121342411).

The spelling of 112121011221200 in words is "one hundred twelve trillion, one hundred twenty-one billion, eleven million, two hundred twenty-one thousand, two hundred".