12434480100 has 567 divisors, whose sum is σ = 47871901497. Its totient is φ = 2793994560.

The previous prime is 12434480083. The next prime is 12434480101. The reversal of 12434480100 is 108443421.

The square root of 12434480100 is 111510.

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., 4476412836 + 7958067264 = 66906^2 + 89208^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12434480101) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 210753871 + ... + 210753929.

Almost surely, 2^12434480100 is an apocalyptic number.

12434480100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12434480100 is the 111510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434480100

12434480100 is an abundant number, since it is smaller than the sum of its proper divisors (35437421397).

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

12434480100 is an equidigital number, since it uses as much as digits as its factorization.

12434480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12434480100 in words is "twelve billion, four hundred thirty-four million, four hundred eighty thousand, one hundred".