10112123201220 has 288 divisors, whose sum is σ = 32806511861760. Its totient is φ = 2516575703040.

The previous prime is 10112123201143. The next prime is 10112123201221. The reversal of 10112123201220 is 2210232121101.

10112123201220 is a `hidden beast` number, since 1 + 0 + 1 + 121 + 2 + 320 + 1 + 220 = 666.

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 = 10112123201193 and 10112123201202.

It is not an unprimeable number, because it can be changed into a prime (10112123201221) 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 95 ways as a sum of consecutive naturals, for example, 23113261 + ... + 23546699.

It is an arithmetic number, because the mean of its divisors is an integer number (113911499520).

Almost surely, 2^{10112123201220} is an apocalyptic number.

10112123201220 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 10112123201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403255930880).

10112123201220 is an abundant number, since it is smaller than the sum of its proper divisors (22694388660540).

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

10112123201220 is a wasteful number, since it uses less digits than its factorization.

10112123201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433635 (or 433630 counting only the distinct ones).

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

Adding to 10112123201220 its reverse (2210232121101), we get a palindrome (12322355322321).

The spelling of 10112123201220 in words is "ten trillion, one hundred twelve billion, one hundred twenty-three million, two hundred one thousand, two hundred twenty".