122001213303000 has 576 divisors, whose sum is σ = 440273119572000. Its totient is φ = 30464353382400.

The previous prime is 122001213302987. The next prime is 122001213303001. The reversal of 122001213303000 is 303312100221.

122001213303000 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 12 + 1 + 330 + 300 + 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 not an unprimeable number, because it can be changed into a prime (122001213303001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 512277951 + ... + 512516049.

Almost surely, 2^{122001213303000} is an apocalyptic number.

122001213303000 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 122001213303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220136559786000).

122001213303000 is an abundant number, since it is smaller than the sum of its proper divisors (318271906269000).

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

122001213303000 is a wasteful number, since it uses less digits than its factorization.

122001213303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238357 (or 238323 counting only the distinct ones).

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

Adding to 122001213303000 its reverse (303312100221), we get a palindrome (122304525403221).

The spelling of 122001213303000 in words is "one hundred twenty-two trillion, one billion, two hundred thirteen million, three hundred three thousand".