122423012100 has 243 divisors, whose sum is σ = 390934143327. Its totient is φ = 32044325760.

The previous prime is 122423012083. The next prime is 122423012119. The reversal of 122423012100 is 1210324221.

It is a happy number.

The square root of 122423012100 is 349890.

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

122423012100 is a `hidden beast` number, since 1 + 224 + 230 + 1 + 210 + 0 = 666.

122423012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 448846596 + 121974165504 = 21186^2 + 349248^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1123146846 + ... + 1123146954.

Almost surely, 2^122423012100 is an apocalyptic number.

122423012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122423012100 is the 349890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122423012100

122423012100 is an abundant number, since it is smaller than the sum of its proper divisors (268511131227).

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

122423012100 is a wasteful number, since it uses less digits than its factorization.

122423012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122423012100 its reverse (1210324221), we get a palindrome (123633336321).

The spelling of 122423012100 in words is "one hundred twenty-two billion, four hundred twenty-three million, twelve thousand, one hundred".