112112322120 has 384 divisors, whose sum is σ = 392704865280. Its totient is φ = 27682560000.

The previous prime is 112112322103. The next prime is 112112322131. The reversal of 112112322120 is 21223211211.

112112322120 is a `hidden beast` number, since 11 + 211 + 2 + 322 + 120 = 666.

It is a super-2 number, since 2×112112322120² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112112322093 and 112112322102.

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, 25185895 + ... + 25190345.

It is an arithmetic number, because the mean of its divisors is an integer number (1022668920).

Almost surely, 2^112112322120 is an apocalyptic number.

112112322120 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 112112322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196352432640).

112112322120 is an abundant number, since it is smaller than the sum of its proper divisors (280592543160).

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

112112322120 is a wasteful number, since it uses less digits than its factorization.

112112322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112112322120 its reverse (21223211211), we get a palindrome (133335533331).

The spelling of 112112322120 in words is "one hundred twelve billion, one hundred twelve million, three hundred twenty-two thousand, one hundred twenty".