112121120201112 has 192 divisors, whose sum is σ = 340581742169760. Its totient is φ = 33022685491200.

The previous prime is 112121120201107. The next prime is 112121120201137. The reversal of 112121120201112 is 211102021121211.

It is a happy number.

112121120201112 is a `hidden beast` number, since 1 + 121 + 211 + 20 + 201 + 112 = 666.

It is a super-2 number, since 2×112121120201112² (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 47 ways as a sum of consecutive naturals, for example, 25542048 + ... + 29608080.

Almost surely, 2^{112121120201112} is an apocalyptic number.

112121120201112 is a gapful number since it is divisible by the number (12) 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 112121120201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170290871084880).

112121120201112 is an abundant number, since it is smaller than the sum of its proper divisors (228460621968648).

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

112121120201112 is a wasteful number, since it uses less digits than its factorization.

112121120201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067034 (or 4067027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121120201112 its reverse (211102021121211), we get a palindrome (323223141322323).

The spelling of 112121120201112 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, two hundred one thousand, one hundred twelve".