112202120101120 has 288 divisors, whose sum is σ = 315422325227520. Its totient is φ = 37447365795840.

The previous prime is 112202120101081. The next prime is 112202120101121. The reversal of 112202120101120 is 21101021202211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112202120101094 and 112202120101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202120101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49140349 + ... + 51372931.

It is an arithmetic number, because the mean of its divisors is an integer number (1095216407040).

Almost surely, 2^{112202120101120} is an apocalyptic number.

112202120101120 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 112202120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157711162613760).

112202120101120 is an abundant number, since it is smaller than the sum of its proper divisors (203220205126400).

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

112202120101120 is an equidigital number, since it uses as much as digits as its factorization.

112202120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232761 (or 2232747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112202120101120 its reverse (21101021202211), we get a palindrome (133303141303331).

The spelling of 112202120101120 in words is "one hundred twelve trillion, two hundred two billion, one hundred twenty million, one hundred one thousand, one hundred twenty".