112121011200 has 1056 divisors, whose sum is σ = 441685087488. Its totient is φ = 24772608000.

The previous prime is 112121011187. The next prime is 112121011229. The reversal of 112121011200 is 2110121211.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×112121011200² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531379095 + ... + 531379305.

Almost surely, 2^112121011200 is an apocalyptic number.

112121011200 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 112121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220842543744).

112121011200 is an abundant number, since it is smaller than the sum of its proper divisors (329564076288).

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

112121011200 is a wasteful number, since it uses less digits than its factorization.

112121011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

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

Adding to 112121011200 its reverse (2110121211), we get a palindrome (114231132411).

It can be divided in two parts, 112121011 and 200, that added together give a palindrome (112121211).

The spelling of 112121011200 in words is "one hundred twelve billion, one hundred twenty-one million, eleven thousand, two hundred".