121132122012 has 72 divisors (see below), whose sum is σ = 339506988912. Its totient is φ = 36104947200.

The previous prime is 121132121993. The next prime is 121132122019. The reversal of 121132122012 is 210221231121.

121132122012 is a `hidden beast` number, since 121 + 1 + 321 + 220 + 1 + 2 = 666.

121132122012 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132122019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2483133 + ... + 2531444.

It is an arithmetic number, because the mean of its divisors is an integer number (4715374846).

Almost surely, 2^121132122012 is an apocalyptic number.

121132122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121132122012 is an abundant number, since it is smaller than the sum of its proper divisors (218374866900).

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

121132122012 is a wasteful number, since it uses less digits than its factorization.

121132122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014659 (or 5014654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121132122012 its reverse (210221231121), we get a palindrome (331353353133).

The spelling of 121132122012 in words is "one hundred twenty-one billion, one hundred thirty-two million, one hundred twenty-two thousand, twelve".