112001332122120 has 192 divisors, whose sum is σ = 391208016643200. Its totient is φ = 25577627765760.

The previous prime is 112001332122101. The next prime is 112001332122139. The reversal of 112001332122120 is 21221233100211.

It is an interprime number because it is at equal distance from previous prime (112001332122101) and next prime (112001332122139).

It is a super-3 number, since 3×112001332122120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1797196 + ... + 15074235.

It is an arithmetic number, because the mean of its divisors is an integer number (2037541753350).

Almost surely, 2^{112001332122120} is an apocalyptic number.

112001332122120 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 112001332122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195604008321600).

112001332122120 is an abundant number, since it is smaller than the sum of its proper divisors (279206684521080).

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

112001332122120 is a wasteful number, since it uses less digits than its factorization.

112001332122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16872588 (or 16872577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 112001332122120 its reverse (21221233100211), we get a palindrome (133222565222331).

The spelling of 112001332122120 in words is "one hundred twelve trillion, one billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".