121133202232200 has 384 divisors, whose sum is σ = 387161613820800. Its totient is φ = 31307130961920.

The previous prime is 121133202232169. The next prime is 121133202232313. The reversal of 121133202232200 is 2232202331121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7938468171 + ... + 7938483429.

It is an arithmetic number, because the mean of its divisors is an integer number (1008233369325).

Almost surely, 2^{121133202232200} is an apocalyptic number.

121133202232200 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 121133202232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193580806910400).

121133202232200 is an abundant number, since it is smaller than the sum of its proper divisors (266028411588600).

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

121133202232200 is a wasteful number, since it uses less digits than its factorization.

121133202232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16681 (or 16672 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121133202232200 its reverse (2232202331121), we get a palindrome (123365404563321).

The spelling of 121133202232200 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, two hundred two million, two hundred thirty-two thousand, two hundred".