121112112201120 has 216 divisors, whose sum is σ = 424767122780364. Its totient is φ = 31423682654208.

The previous prime is 121112112201061. The next prime is 121112112201121. The reversal of 121112112201120 is 21102211211121.

It is a happy number.

121112112201120 is a `hidden beast` number, since 1 + 2 + 111 + 211 + 220 + 1 + 120 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 117640314748944 + 3471797452176 = 10846212^2 + 1863276^2 .

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 = 121112112201093 and 121112112201102.

It is not an unprimeable number, because it can be changed into a prime (121112112201121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28746549 + ... + 32689268.

Almost surely, 2^{121112112201120} is an apocalyptic number.

121112112201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112112201120 is an abundant number, since it is smaller than the sum of its proper divisors (303655010579244).

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

121112112201120 is a wasteful number, since it uses less digits than its factorization.

121112112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61435912 (or 61435864 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121112112201120 its reverse (21102211211121), we get a palindrome (142214323412241).

The spelling of 121112112201120 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twelve million, two hundred one thousand, one hundred twenty".