121002001000212 has 96 divisors (see below), whose sum is σ = 283896144967680. Its totient is φ = 40111829925120.

The previous prime is 121002001000193. The next prime is 121002001000241. The reversal of 121002001000212 is 212000100200121.

121002001000212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121002001000212³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10882447989 + ... + 10882459107.

It is an arithmetic number, because the mean of its divisors is an integer number (2957251510080).

Almost surely, 2^{121002001000212} is an apocalyptic number.

121002001000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121002001000212 is an abundant number, since it is smaller than the sum of its proper divisors (162894143967468).

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

121002001000212 is a wasteful number, since it uses less digits than its factorization.

121002001000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121002001000212 its reverse (212000100200121), we get a palindrome (333002101200333).

The spelling of 121002001000212 in words is "one hundred twenty-one trillion, two billion, one million, two hundred twelve", and thus it is an aban number.