122120666520 has 128 divisors (see below), whose sum is σ = 368232480000. Its totient is φ = 32399552000.

The previous prime is 122120666513. The next prime is 122120666527. The reversal of 122120666520 is 25666021221.

It is an interprime number because it is at equal distance from previous prime (122120666513) and next prime (122120666527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120666527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37015831 + ... + 37019129.

It is an arithmetic number, because the mean of its divisors is an integer number (2876816250).

Almost surely, 2^122120666520 is an apocalyptic number.

122120666520 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 122120666520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184116240000).

122120666520 is an abundant number, since it is smaller than the sum of its proper divisors (246111813480).

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

122120666520 is a wasteful number, since it uses less digits than its factorization.

122120666520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 122120666520 its reverse (25666021221), we get a palindrome (147786687741).

The spelling of 122120666520 in words is "one hundred twenty-two billion, one hundred twenty million, six hundred sixty-six thousand, five hundred twenty".