120010011122000 has 160 divisors (see below), whose sum is σ = 297278645698944. Its totient is φ = 46830532224000.

The previous prime is 120010011121999. The next prime is 120010011122059. The reversal of 120010011122000 is 221110010021.

120010011122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2111225579 + ... + 2111282421.

Almost surely, 2^{120010011122000} is an apocalyptic number.

120010011122000 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 120010011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148639322849472).

120010011122000 is an abundant number, since it is smaller than the sum of its proper divisors (177268634576944).

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

120010011122000 is a wasteful number, since it uses less digits than its factorization.

120010011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82654 (or 82638 counting only the distinct ones).

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

Adding to 120010011122000 its reverse (221110010021), we get a palindrome (120231121132021).

The spelling of 120010011122000 in words is "one hundred twenty trillion, ten billion, eleven million, one hundred twenty-two thousand".