122120301130200 has 288 divisors, whose sum is σ = 420024779974800. Its totient is φ = 31788181831680.

The previous prime is 122120301130181. The next prime is 122120301130213. The reversal of 122120301130200 is 2031103021221.

122120301130200 is a `hidden beast` number, since 1 + 2 + 212 + 0 + 301 + 130 + 20 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7955191 + ... + 17536409.

Almost surely, 2^{122120301130200} is an apocalyptic number.

122120301130200 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 122120301130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210012389987400).

122120301130200 is an abundant number, since it is smaller than the sum of its proper divisors (297904478844600).

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

122120301130200 is a wasteful number, since it uses less digits than its factorization.

122120301130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581411 (or 9581399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122120301130200 its reverse (2031103021221), we get a palindrome (124151404151421).

The spelling of 122120301130200 in words is "one hundred twenty-two trillion, one hundred twenty billion, three hundred one million, one hundred thirty thousand, two hundred".