12122022121000 has 192 divisors, whose sum is σ = 31487373524880. Its totient is φ = 4364360000000.

The previous prime is 12122022120991. The next prime is 12122022121003. The reversal of 12122022121000 is 12122022121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3427556065956 + 8694466055044 = 1851366^2 + 2948638^2 .

It is not an unprimeable number, because it can be changed into a prime (12122022121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11725050 + ... + 12716950.

Almost surely, 2^{12122022121000} is an apocalyptic number.

12122022121000 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 12122022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743686762440).

12122022121000 is an abundant number, since it is smaller than the sum of its proper divisors (19365351403880).

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

12122022121000 is a wasteful number, since it uses less digits than its factorization.

12122022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992045 (or 992020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122022121000 its reverse (12122022121), we get a palindrome (12134144143121).

12122022121000 divided by its reverse (12122022121) gives a cube (1000 = 10³).

The spelling of 12122022121000 in words is "twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand".