122205012500 has 72 divisors (see below), whose sum is σ = 267702787800. Its totient is φ = 48809520000.

The previous prime is 122205012469. The next prime is 122205012539. The reversal of 122205012500 is 5210502221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 119836438276 + 2368574224 = 346174^2 + 48668^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8855606 + ... + 8869394.

It is an arithmetic number, because the mean of its divisors is an integer number (3718094275).

Almost surely, 2^122205012500 is an apocalyptic number.

122205012500 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 122205012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133851393900).

122205012500 is an abundant number, since it is smaller than the sum of its proper divisors (145497775300).

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

122205012500 is an equidigital number, since it uses as much as digits as its factorization.

122205012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14527 (or 14505 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 122205012500 its reverse (5210502221), we get a palindrome (127415514721).

The spelling of 122205012500 in words is "one hundred twenty-two billion, two hundred five million, twelve thousand, five hundred".