121121122000 has 80 divisors (see below), whose sum is σ = 294405156864. Its totient is φ = 48194640000.

The previous prime is 121121121991. The next prime is 121121122037. The reversal of 121121122000 is 221121121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223465 + ... + 540535.

Almost surely, 2^121121122000 is an apocalyptic number.

121121122000 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 121121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147202578432).

121121122000 is an abundant number, since it is smaller than the sum of its proper divisors (173284034864).

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

121121122000 is a wasteful number, since it uses less digits than its factorization.

121121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317285 (or 317269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121121122000 its reverse (221121121), we get a palindrome (121342243121).

The spelling of 121121122000 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand".