12011122001000 has 256 divisors, whose sum is σ = 29017692288000. Its totient is φ = 4651395840000.

The previous prime is 12011122000987. The next prime is 12011122001057. The reversal of 12011122001000 is 10022111021.

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 63 ways as a sum of consecutive naturals, for example, 1962277940 + ... + 1962284060.

It is an arithmetic number, because the mean of its divisors is an integer number (113350360500).

Almost surely, 2^{12011122001000} is an apocalyptic number.

12011122001000 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 12011122001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508846144000).

12011122001000 is an abundant number, since it is smaller than the sum of its proper divisors (17006570287000).

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

12011122001000 is a wasteful number, since it uses less digits than its factorization.

12011122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011122001000 its reverse (10022111021), we get a palindrome (12021144112021).

The spelling of 12011122001000 in words is "twelve trillion, eleven billion, one hundred twenty-two million, one thousand".