122120002000 has 80 divisors (see below), whose sum is σ = 296512588944. Its totient is φ = 48645120000.

The previous prime is 122120001989. The next prime is 122120002003. The reversal of 122120002000 is 200021221.

It can be written as a sum of positive squares in 8 ways, for example, as 41638851136 + 80481150864 = 204056^2 + 283692^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355320 + ... + 608680.

Almost surely, 2^122120002000 is an apocalyptic number.

122120002000 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 122120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148256294472).

122120002000 is an abundant number, since it is smaller than the sum of its proper divisors (174392586944).

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

122120002000 is a wasteful number, since it uses less digits than its factorization.

122120002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253625 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122120002000 its reverse (200021221), we get a palindrome (122320023221).

The spelling of 122120002000 in words is "one hundred twenty-two billion, one hundred twenty million, two thousand".