121212011221200 has 180 divisors, whose sum is σ = 438928016585760. Its totient is φ = 30917846319360.

The previous prime is 121212011221123. The next prime is 121212011221207. The reversal of 121212011221200 is 2122110212121.

121212011221200 is a `hidden beast` number, since 1 + 21 + 21 + 201 + 1 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (121212011221207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 731873790 + ... + 732039389.

It is an arithmetic number, because the mean of its divisors is an integer number (2438488981032).

Almost surely, 2^{121212011221200} is an apocalyptic number.

121212011221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121212011221200 is an abundant number, since it is smaller than the sum of its proper divisors (317716005364560).

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

121212011221200 is a wasteful number, since it uses less digits than its factorization.

121212011221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463913226 (or 1463913212 counting only the distinct ones).

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

Adding to 121212011221200 its reverse (2122110212121), we get a palindrome (123334121433321).

The spelling of 121212011221200 in words is "one hundred twenty-one trillion, two hundred twelve billion, eleven million, two hundred twenty-one thousand, two hundred".