122201120000 has 90 divisors (see below), whose sum is σ = 304808943978. Its totient is φ = 48880384000.

The previous prime is 122201119981. The next prime is 122201120011. The reversal of 122201120000 is 21102221.

It is a happy number.

122201120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 86567762176 + 35633357824 = 294224^2 + 188768^2 .

It is a super-3 number, since 3×122201120000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 221879 + ... + 541878.

Almost surely, 2^122201120000 is an apocalyptic number.

122201120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201120000 is an abundant number, since it is smaller than the sum of its proper divisors (182607823978).

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

122201120000 is an frugal number, since it uses more digits than its factorization.

122201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763793 (or 763764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122201120000 its reverse (21102221), we get a palindrome (122222222221).

The spelling of 122201120000 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty thousand".