112010011002120 has 512 divisors, whose sum is σ = 428367979008000. Its totient is φ = 23227358515200.

The previous prime is 112010011002037. The next prime is 112010011002143. The reversal of 112010011002120 is 21200110010211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112010011002096 and 112010011002105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222053232 + ... + 222557088.

It is an arithmetic number, because the mean of its divisors is an integer number (836656209000).

Almost surely, 2^{112010011002120} is an apocalyptic number.

112010011002120 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 112010011002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214183989504000).

112010011002120 is an abundant number, since it is smaller than the sum of its proper divisors (316357968005880).

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

112010011002120 is a wasteful number, since it uses less digits than its factorization.

112010011002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504394 (or 504376 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112010011002120 its reverse (21200110010211), we get a palindrome (133210121012331).

The spelling of 112010011002120 in words is "one hundred twelve trillion, ten billion, eleven million, two thousand, one hundred twenty".