12407732100 has 243 divisors, whose sum is σ = 40245788037. Its totient is φ = 3197338560.

The previous prime is 12407732093. The next prime is 12407732131. The reversal of 12407732100 is 123770421.

It is a happy number.

The square root of 12407732100 is 111390.

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., 4466783556 + 7940948544 = 66834^2 + 89112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 157059861 + ... + 157059939.

Almost surely, 2^12407732100 is an apocalyptic number.

12407732100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12407732100 is the 111390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12407732100

12407732100 is an abundant number, since it is smaller than the sum of its proper divisors (27838055937).

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

12407732100 is a wasteful number, since it uses less digits than its factorization.

12407732100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 12407732100 in words is "twelve billion, four hundred seven million, seven hundred thirty-two thousand, one hundred".