122133100000 has 144 divisors (see below), whose sum is σ = 318226100976. Its totient is φ = 45978880000.

The previous prime is 122133099947. The next prime is 122133100073. The reversal of 122133100000 is 1331221.

It is a super-2 number, since 2×122133100000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1664079 + ... + 1735921.

It is an arithmetic number, because the mean of its divisors is an integer number (2209903479).

Almost surely, 2^122133100000 is an apocalyptic number.

122133100000 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 122133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159113050488).

122133100000 is an abundant number, since it is smaller than the sum of its proper divisors (196093000976).

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

122133100000 is an frugal number, since it uses more digits than its factorization.

122133100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71895 (or 71867 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 122133100000 its reverse (1331221), we get a palindrome (122134431221).

The spelling of 122133100000 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thousand".