122100033330000 has 600 divisors, whose sum is σ = 466560378837696. Its totient is φ = 29552947200000.

The previous prime is 122100033329951. The next prime is 122100033330019. The reversal of 122100033330000 is 33330001221.

122100033330000 is a `hidden beast` number, since 1 + 22 + 10 + 0 + 0 + 333 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×122100033330000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 624592272 + ... + 624787728.

Almost surely, 2^{122100033330000} is an apocalyptic number.

122100033330000 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 122100033330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280189418848).

122100033330000 is an abundant number, since it is smaller than the sum of its proper divisors (344460345507696).

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

122100033330000 is a wasteful number, since it uses less digits than its factorization.

122100033330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196133 (or 196109 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 122100033330000 its reverse (33330001221), we get a palindrome (122133363331221).

The spelling of 122100033330000 in words is "one hundred twenty-two trillion, one hundred billion, thirty-three million, three hundred thirty thousand".