112220012101120 has 320 divisors, whose sum is σ = 340182477499392. Its totient is φ = 34485018624000.

The previous prime is 112220012101069. The next prime is 112220012101159. The reversal of 112220012101120 is 21101210022211.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×112220012101120² (a number of 29 digits) contains 22 as substring.

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 = 112220012101094 and 112220012101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9986380 + ... + 18004660.

Almost surely, 2^{112220012101120} is an apocalyptic number.

112220012101120 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 112220012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170091238749696).

112220012101120 is an abundant number, since it is smaller than the sum of its proper divisors (227962465398272).

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

112220012101120 is an equidigital number, since it uses as much as digits as its factorization.

112220012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018393 (or 8018377 counting only the distinct ones).

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

Adding to 112220012101120 its reverse (21101210022211), we get a palindrome (133321222123331).

The spelling of 112220012101120 in words is "one hundred twelve trillion, two hundred twenty billion, twelve million, one hundred one thousand, one hundred twenty".