122001213333120 has 128 divisors (see below), whose sum is σ = 424231491890880. Its totient is φ = 29576051712000.

The previous prime is 122001213333061. The next prime is 122001213333121. The reversal of 122001213333120 is 21333312100221.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (122001213333121) 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 15 ways as a sum of consecutive naturals, for example, 2888265181 + ... + 2888307420.

Almost surely, 2^{122001213333120} is an apocalyptic number.

122001213333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001213333120 is an abundant number, since it is smaller than the sum of its proper divisors (302230278557760).

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

122001213333120 is a wasteful number, since it uses less digits than its factorization.

122001213333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776572634 (or 5776572622 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122001213333120 its reverse (21333312100221), we get a palindrome (143334525433341).

The spelling of 122001213333120 in words is "one hundred twenty-two trillion, one billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".