122500000000 has 297 divisors, whose sum is σ = 355554191937. Its totient is φ = 42000000000.

The previous prime is 122499999997. The next prime is 122500000027. The reversal of 122500000000 is 5221.

The square root of 122500000000 is 350000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 704583936 + 121795416064 = 26544^2 + 348992^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 17499999997 + ... + 17500000003.

Almost surely, 2^122500000000 is an apocalyptic number.

122500000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122500000000 is the 350000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122500000000

122500000000 is an abundant number, since it is smaller than the sum of its proper divisors (233054191937).

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

122500000000 is an frugal number, since it uses more digits than its factorization.

122500000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 122500000000 its reverse (5221), we get a palindrome (122500005221).

The spelling of 122500000000 in words is "one hundred twenty-two billion, five hundred million", and thus it is an aban number.