12122312133000 has 128 divisors (see below), whose sum is σ = 37825822869120. Its totient is φ = 3232256825600.

The previous prime is 12122312132977. The next prime is 12122312133023. The reversal of 12122312133000 is 33121322121.

It is an interprime number because it is at equal distance from previous prime (12122312132977) and next prime (12122312133023).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27298747 + ... + 27739253.

It is an arithmetic number, because the mean of its divisors is an integer number (295514241165).

Almost surely, 2^{12122312133000} is an apocalyptic number.

12122312133000 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 12122312133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912911434560).

12122312133000 is an abundant number, since it is smaller than the sum of its proper divisors (25703510736120).

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

12122312133000 is a wasteful number, since it uses less digits than its factorization.

12122312133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449704 (or 449690 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12122312133000 its reverse (33121322121), we get a palindrome (12155433455121).

The spelling of 12122312133000 in words is "twelve trillion, one hundred twenty-two billion, three hundred twelve million, one hundred thirty-three thousand".