122479000900 has 81 divisors (see below), whose sum is σ = 269795330301. Its totient is φ = 48262262880.

The previous prime is 122479000829. The next prime is 122479000907. The reversal of 122479000900 is 9000974221.

It is a happy number.

The square root of 122479000900 is 349970.

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

It can be written as a sum of positive squares in only one way, i.e., 44092440324 + 78386560576 = 209982^2 + 279976^2 .

It is a super-2 number, since 2×122479000900² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122479000907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276476079 + ... + 276476521.

Almost surely, 2^122479000900 is an apocalyptic number.

122479000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122479000900 is the 349970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122479000900

122479000900 is an abundant number, since it is smaller than the sum of its proper divisors (147316329401).

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

122479000900 is an frugal number, since it uses more digits than its factorization.

122479000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 122479000900 in words is "one hundred twenty-two billion, four hundred seventy-nine million, nine hundred", and thus it is an aban number.