1000121122000 has 640 divisors, whose sum is σ = 3256239587328. Its totient is φ = 286924032000.

The previous prime is 1000121121983. The next prime is 1000121122009. The reversal of 1000121122000 is 2211210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121122009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1215213589 + ... + 1215214411.

Almost surely, 2^{1000121122000} is an apocalyptic number.

1000121122000 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 1000121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628119793664).

1000121122000 is an abundant number, since it is smaller than the sum of its proper divisors (2256118465328).

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

1000121122000 is a wasteful number, since it uses less digits than its factorization.

1000121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000121122000 its reverse (2211210001), we get a palindrome (1002332332001).

The spelling of 1000121122000 in words is "one trillion, one hundred twenty-one million, one hundred twenty-two thousand".