122110002000 has 720 divisors, whose sum is σ = 497274815232. Its totient is φ = 27354931200.

The previous prime is 122110001963. The next prime is 122110002011. The reversal of 122110002000 is 200011221.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 143 ways as a sum of consecutive naturals, for example, 1185533949 + ... + 1185534051.

Almost surely, 2^122110002000 is an apocalyptic number.

122110002000 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 122110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248637407616).

122110002000 is an abundant number, since it is smaller than the sum of its proper divisors (375164813232).

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

122110002000 is a wasteful number, since it uses less digits than its factorization.

122110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122110002000 its reverse (200011221), we get a palindrome (122310013221).

The spelling of 122110002000 in words is "one hundred twenty-two billion, one hundred ten million, two thousand".