122500000 has 144 divisors (see below), whose sum is σ = 350682696. Its totient is φ = 42000000.

The previous prime is 122499997. The next prime is 122500019. The reversal of 122500000 is 5221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 73891216 + 48608784 = 8596^2 + 6972^2 .

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 122500000.

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 23 ways as a sum of consecutive naturals, for example, 17499997 + ... + 17500003.

Almost surely, 2^122500000 is an apocalyptic number.

122500000 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 122500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175341348).

122500000 is an abundant number, since it is smaller than the sum of its proper divisors (228182696).

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

122500000 is an frugal number, since it uses more digits than its factorization.

122500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 14 counting only the distinct ones).

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

The square root of 122500000 is about 11067.9718105893. The cubic root of 122500000 is about 496.6441941896.

Multiplying 122500000 by its sum of digits (10), we get a square (1225000000 = 35000²).

122500000 divided by its sum of digits (10) gives a square (12250000 = 3500²).

Adding to 122500000 its reverse (5221), we get a palindrome (122505221).

The spelling of 122500000 in words is "one hundred twenty-two million, five hundred thousand".