112121121202200 has 384 divisors, whose sum is σ = 421343201952000. Its totient is φ = 27178323379200.

The previous prime is 112121121202171. The next prime is 112121121202231. The reversal of 112121121202200 is 2202121121211.

112121121202200 is a `hidden beast` number, since 1 + 1 + 21 + 211 + 212 + 0 + 220 + 0 = 666.

It is a super-2 number, since 2×112121121202200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 675235587 + ... + 675401613.

It is an arithmetic number, because the mean of its divisors is an integer number (1097247921750).

Almost surely, 2^{112121121202200} is an apocalyptic number.

112121121202200 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 112121121202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210671600976000).

112121121202200 is an abundant number, since it is smaller than the sum of its proper divisors (309222080749800).

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

112121121202200 is a wasteful number, since it uses less digits than its factorization.

112121121202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177432 (or 177417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112121121202200 its reverse (2202121121211), we get a palindrome (114323242323411).

The spelling of 112121121202200 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand, two hundred".