121122010212012 has 72 divisors (see below), whose sum is σ = 319508124245856. Its totient is φ = 38615362731264.

The previous prime is 121122010211987. The next prime is 121122010212029. The reversal of 121122010212012 is 210212010221121.

121122010212012 is a `hidden beast` number, since 1 + 211 + 220 + 10 + 21 + 201 + 2 = 666.

121122010212012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3702838 + ... + 15998594.

It is an arithmetic number, because the mean of its divisors is an integer number (4437612836748).

Almost surely, 2^{121122010212012} is an apocalyptic number.

121122010212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121122010212012 is an abundant number, since it is smaller than the sum of its proper divisors (198386114033844).

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

121122010212012 is a wasteful number, since it uses less digits than its factorization.

121122010212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12307687 (or 12307682 counting only the distinct ones).

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

Adding to 121122010212012 its reverse (210212010221121), we get a palindrome (331334020433133).

The spelling of 121122010212012 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, ten million, two hundred twelve thousand, twelve".