112121000000000 has 200 divisors, whose sum is σ = 280031235973236. Its totient is φ = 44848000000000.

The previous prime is 112120999999979. The next prime is 112121000000081. The reversal of 112121000000000 is 121211.

It can be written as a sum of positive squares in 10 ways, for example, as 40333473546496 + 71787526453504 = 6350864^2 + 8472752^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×112121000000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999943940 + ... + 1000056060.

Almost surely, 2^{112121000000000} is an apocalyptic number.

112121000000000 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 112121000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140015617986618).

112121000000000 is an abundant number, since it is smaller than the sum of its proper divisors (167910235973236).

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

112121000000000 is an frugal number, since it uses more digits than its factorization.

112121000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112184 (or 112128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 112121000000000 its reverse (121211), we get a palindrome (112121000121211).

The spelling of 112121000000000 in words is "one hundred twelve trillion, one hundred twenty-one billion", and thus it is an aban number.