12212122001000 has 128 divisors (see below), whose sum is σ = 29255774745600. Its totient is φ = 4769219059200.

The previous prime is 12212122000979. The next prime is 12212122001021. The reversal of 12212122001000 is 10022121221.

It is an interprime number because it is at equal distance from previous prime (12212122000979) and next prime (12212122001021).

It is a super-3 number, since 3×12212122001000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18905357 + ... + 19540643.

It is an arithmetic number, because the mean of its divisors is an integer number (228560740200).

Almost surely, 2^{12212122001000} is an apocalyptic number.

12212122001000 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 12212122001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627887372800).

12212122001000 is an abundant number, since it is smaller than the sum of its proper divisors (17043652744600).

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

12212122001000 is a wasteful number, since it uses less digits than its factorization.

12212122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635764 (or 635750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212122001000 its reverse (10022121221), we get a palindrome (12222144122221).

The spelling of 12212122001000 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, one thousand".