121122000101000 has 128 divisors (see below), whose sum is σ = 286878791646720. Its totient is φ = 47862036000000.

The previous prime is 121122000100999. The next prime is 121122000101021. The reversal of 121122000101000 is 101000221121.

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, 25115165 + ... + 29546835.

It is an arithmetic number, because the mean of its divisors is an integer number (2241240559740).

Almost surely, 2^{121122000101000} is an apocalyptic number.

121122000101000 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 121122000101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143439395823360).

121122000101000 is an abundant number, since it is smaller than the sum of its proper divisors (165756791545720).

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

121122000101000 is a wasteful number, since it uses less digits than its factorization.

121122000101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432024 (or 4432010 counting only the distinct ones).

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

Adding to 121122000101000 its reverse (101000221121), we get a palindrome (121223000322121).

The spelling of 121122000101000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred one thousand".