122121121120002 has 16 divisors (see below), whose sum is σ = 271380269155680. Its totient is φ = 40707040373316.

The previous prime is 122121121119967. The next prime is 122121121120079. The reversal of 122121121120002 is 200021121121221.

122121121120002 is a `hidden beast` number, since 1 + 221 + 211 + 211 + 20 + 0 + 0 + 2 = 666.

122121121120002 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130751121428 + ... + 1130751121535.

It is an arithmetic number, because the mean of its divisors is an integer number (16961266822230).

Almost surely, 2^{122121121120002} is an apocalyptic number.

122121121120002 is an abundant number, since it is smaller than the sum of its proper divisors (149259148035678).

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

122121121120002 is a wasteful number, since it uses less digits than its factorization.

122121121120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261502242974 (or 2261502242968 counting only the distinct ones).

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

Adding to 122121121120002 its reverse (200021121121221), we get a palindrome (322142242241223).

The spelling of 122121121120002 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, two".