121122333000 has 192 divisors, whose sum is σ = 409723816320. Its totient is φ = 32273232000.

The previous prime is 121122332999. The next prime is 121122333001. The reversal of 121122333000 is 333221121.

121122333000 is a `hidden beast` number, since 121 + 12 + 233 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121122332999) and next prime (121122333001).

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

It is not an unprimeable number, because it can be changed into a prime (121122333001) 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, 12838285 + ... + 12847715.

It is an arithmetic number, because the mean of its divisors is an integer number (2133978210).

Almost surely, 2^121122333000 is an apocalyptic number.

121122333000 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 121122333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204861908160).

121122333000 is an abundant number, since it is smaller than the sum of its proper divisors (288601483320).

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

121122333000 is a wasteful number, since it uses less digits than its factorization.

121122333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121122333000 its reverse (333221121), we get a palindrome (121455554121).

The spelling of 121122333000 in words is "one hundred twenty-one billion, one hundred twenty-two million, three hundred thirty-three thousand".