121322121012 has 36 divisors (see below), whose sum is σ = 306692027460. Its totient is φ = 40438509312.

The previous prime is 121322120993. The next prime is 121322121023. The reversal of 121322121012 is 210121223121.

121322121012 is a `hidden beast` number, since 121 + 322 + 1 + 210 + 12 = 666.

121322121012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38933603856 + 82388517156 = 197316^2 + 287034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665914 + ... + 828302.

It is an arithmetic number, because the mean of its divisors is an integer number (8519222985).

Almost surely, 2^121322121012 is an apocalyptic number.

121322121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121322121012 is an abundant number, since it is smaller than the sum of its proper divisors (185369906448).

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

121322121012 is a wasteful number, since it uses less digits than its factorization.

121322121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183152 (or 183147 counting only the distinct ones).

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

Adding to 121322121012 its reverse (210121223121), we get a palindrome (331443344133).

The spelling of 121322121012 in words is "one hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-one thousand, twelve".