12484350222400 has 189 divisors, whose sum is σ = 35737532922429. Its totient is φ = 4280009448960.

The previous prime is 12484350222373. The next prime is 12484350222481. The reversal of 12484350222400 is 422205348421.

The square root of 12484350222400 is 3533320.

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., 4494366080064 + 7989984142336 = 2119992^2 + 2826656^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12484350222400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 989323291 + ... + 989335909.

Almost surely, 2^{12484350222400} is an apocalyptic number.

12484350222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12484350222400 is the 3533320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12484350222400

12484350222400 is an abundant number, since it is smaller than the sum of its proper divisors (23253182700029).

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

12484350222400 is an frugal number, since it uses more digits than its factorization.

12484350222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25274 (or 12633 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 12484350222400 in words is "twelve trillion, four hundred eighty-four billion, three hundred fifty million, two hundred twenty-two thousand, four hundred".