12122112000 has 240 divisors, whose sum is σ = 40361604192. Its totient is φ = 3230924800.

The previous prime is 12122111993. The next prime is 12122112031. The reversal of 12122112000 is 21122121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143014 + ... + 6144986.

Almost surely, 2^12122112000 is an apocalyptic number.

12122112000 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 12122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180802096).

12122112000 is an abundant number, since it is smaller than the sum of its proper divisors (28239492192).

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

12122112000 is an frugal number, since it uses more digits than its factorization.

12122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122112000 its reverse (21122121), we get a palindrome (12143234121).

The spelling of 12122112000 in words is "twelve billion, one hundred twenty-two million, one hundred twelve thousand".