122091400000 has 84 divisors (see below), whose sum is σ = 302825016396. Its totient is φ = 48836480000.

The previous prime is 122091399973. The next prime is 122091400007. The reversal of 122091400000 is 4190221.

122091400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 70624125504 + 51467274496 = 265752^2 + 226864^2 .

It is a super-3 number, since 3×122091400000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122091400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105229 + ... + 505228.

It is an arithmetic number, because the mean of its divisors is an integer number (3605059719).

Almost surely, 2^122091400000 is an apocalyptic number.

122091400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122091400000 is an abundant number, since it is smaller than the sum of its proper divisors (180733616396).

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

122091400000 is an frugal number, since it uses more digits than its factorization.

122091400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610494 (or 610464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122091400000 its reverse (4190221), we get a palindrome (122095590221).

The spelling of 122091400000 in words is "one hundred twenty-two billion, ninety-one million, four hundred thousand".