112121120202120 has 112 divisors (see below), whose sum is σ = 378235754360460. Its totient is φ = 29898965379456.

The previous prime is 112121120202103. The next prime is 112121120202241. The reversal of 112121120202120 is 21202021121211.

112121120202120 is a `hidden beast` number, since 11 + 212 + 1 + 120 + 202 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94857743376036 + 17263376826084 = 9739494^2 + 4154922^2 .

It is a super-2 number, since 2×112121120202120² (a number of 29 digits) contains 22 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 = 112121120202093 and 112121120202102.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1922486619 + ... + 1922544938.

Almost surely, 2^{112121120202120} is an apocalyptic number.

112121120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121120202120 is an abundant number, since it is smaller than the sum of its proper divisors (266114634158340).

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

112121120202120 is an equidigital number, since it uses as much as digits as its factorization.

112121120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845031586 (or 3845031567 counting only the distinct ones).

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

Adding to 112121120202120 its reverse (21202021121211), we get a palindrome (133323141323331).

The spelling of 112121120202120 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, two hundred two thousand, one hundred twenty".