122201891248 has 80 divisors (see below), whose sum is σ = 253308072960. Its totient is φ = 56909952000.

The previous prime is 122201891239. The next prime is 122201891297. The reversal of 122201891248 is 842198102221.

It is a super-3 number, since 3×122201891248³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122201891248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11125023 + ... + 11136001.

It is an arithmetic number, because the mean of its divisors is an integer number (3166350912).

Almost surely, 2^122201891248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201891248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126654036480).

122201891248 is an abundant number, since it is smaller than the sum of its proper divisors (131106181712).

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

122201891248 is a wasteful number, since it uses less digits than its factorization.

122201891248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11426 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

Adding to 122201891248 its reverse (842198102221), we get a palindrome (964399993469).

The spelling of 122201891248 in words is "one hundred twenty-two billion, two hundred one million, eight hundred ninety-one thousand, two hundred forty-eight".