112220121102120 has 256 divisors, whose sum is σ = 386157072384000. Its totient is φ = 28958282092800.

The previous prime is 112220121102119. The next prime is 112220121102157. The reversal of 112220121102120 is 21201121022211.

112220121102120 is a `hidden beast` number, since 112 + 220 + 1 + 211 + 0 + 2 + 120 = 666.

It is a super-4 number, since 4×112220121102120⁴ (a number of 57 digits) contains 4444 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 = 112220121102093 and 112220121102102.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 608942551 + ... + 609126809.

It is an arithmetic number, because the mean of its divisors is an integer number (1508426064000).

Almost surely, 2^{112220121102120} is an apocalyptic number.

112220121102120 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 112220121102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193078536192000).

112220121102120 is an abundant number, since it is smaller than the sum of its proper divisors (273936951281880).

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

112220121102120 is a wasteful number, since it uses less digits than its factorization.

112220121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202501 (or 202491 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112220121102120 its reverse (21201121022211), we get a palindrome (133421242124331).

The spelling of 112220121102120 in words is "one hundred twelve trillion, two hundred twenty billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".