122231105000 has 120 divisors (see below), whose sum is σ = 304228357950. Its totient is φ = 46015872000.

The previous prime is 122231104993. The next prime is 122231105011. The reversal of 122231105000 is 501132221.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 4319907076 + 117911197924 = 65726^2 + 343382^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 122231105000.

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 29 ways as a sum of consecutive naturals, for example, 1402706 + ... + 1487294.

Almost surely, 2^122231105000 is an apocalyptic number.

122231105000 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 122231105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152114178975).

122231105000 is an abundant number, since it is smaller than the sum of its proper divisors (181997252950).

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

122231105000 is an equidigital number, since it uses as much as digits as its factorization.

122231105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84649 (or 84613 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 122231105000 its reverse (501132221), we get a palindrome (122732237221).

The spelling of 122231105000 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred five thousand".