121421812442112 has 2112 divisors, whose sum is σ = 459403788480000. Its totient is φ = 30654764679168.

The previous prime is 121421812442087. The next prime is 121421812442137. The reversal of 121421812442112 is 211244218124121.

121421812442112 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 21 + 81 + 2 + 442 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (121421812442087) and next prime (121421812442137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165650494098 + ... + 165650494830.

Almost surely, 2^{121421812442112} is an apocalyptic number.

121421812442112 is a gapful number since it is divisible by the number (12) 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 121421812442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229701894240000).

121421812442112 is an abundant number, since it is smaller than the sum of its proper divisors (337981976037888).

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

121421812442112 is a wasteful number, since it uses less digits than its factorization.

121421812442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 926 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The spelling of 121421812442112 in words is "one hundred twenty-one trillion, four hundred twenty-one billion, eight hundred twelve million, four hundred forty-two thousand, one hundred twelve".