1000122333000 has 1024 divisors, whose sum is σ = 3793217126400. Its totient is φ = 214592716800.

The previous prime is 1000122332987. The next prime is 1000122333011. The reversal of 1000122333000 is 3332210001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5181980904 + ... + 5181981096.

It is an arithmetic number, because the mean of its divisors is an integer number (3704313600).

Almost surely, 2^{1000122333000} is an apocalyptic number.

1000122333000 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 1000122333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896608563200).

1000122333000 is an abundant number, since it is smaller than the sum of its proper divisors (2793094793400).

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

1000122333000 is a wasteful number, since it uses less digits than its factorization.

1000122333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1000122333000 its reverse (3332210001), we get a palindrome (1003454543001).

The spelling of 1000122333000 in words is "one trillion, one hundred twenty-two million, three hundred thirty-three thousand".