121311320033200 has 240 divisors, whose sum is σ = 325005748586496. Its totient is φ = 43135404390400.

The previous prime is 121311320033147. The next prime is 121311320033207. The reversal of 121311320033200 is 2330023113121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (121311320033207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227834484 + ... + 228366316.

Almost surely, 2^{121311320033200} is an apocalyptic number.

121311320033200 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 121311320033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162502874293248).

121311320033200 is an abundant number, since it is smaller than the sum of its proper divisors (203694428553296).

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

121311320033200 is a wasteful number, since it uses less digits than its factorization.

121311320033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533012 (or 533001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 121311320033200 its reverse (2330023113121), we get a palindrome (123641343146321).

The spelling of 121311320033200 in words is "one hundred twenty-one trillion, three hundred eleven billion, three hundred twenty million, thirty-three thousand, two hundred".