121332132331200 has 1008 divisors, whose sum is σ = 495676897148160. Its totient is φ = 27574276055040.

The previous prime is 121332132331183. The next prime is 121332132331247. The reversal of 121332132331200 is 2133231233121.

121332132331200 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 21 + 323 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19655291314 + ... + 19655297486.

It is an arithmetic number, because the mean of its divisors is an integer number (491742953520).

Almost surely, 2^{121332132331200} is an apocalyptic number.

121332132331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121332132331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247838448574080).

121332132331200 is an abundant number, since it is smaller than the sum of its proper divisors (374344764816960).

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

121332132331200 is a wasteful number, since it uses less digits than its factorization.

121332132331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121332132331200 its reverse (2133231233121), we get a palindrome (123465363564321).

The spelling of 121332132331200 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred".