122561054000 has 960 divisors, whose sum is σ = 400114391040. Its totient is φ = 35857920000.

The previous prime is 122561053999. The next prime is 122561054023. The reversal of 122561054000 is 450165221.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2077305971 + ... + 2077306029.

It is an arithmetic number, because the mean of its divisors is an integer number (416785824).

Almost surely, 2^122561054000 is an apocalyptic number.

122561054000 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 122561054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200057195520).

122561054000 is an abundant number, since it is smaller than the sum of its proper divisors (277553337040).

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

122561054000 is a wasteful number, since it uses less digits than its factorization.

122561054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 122561054000 in words is "one hundred twenty-two billion, five hundred sixty-one million, fifty-four thousand".