1282420353600 has 189 divisors, whose sum is σ = 4558507776667. Its totient is φ = 341942522880.

The previous prime is 1282420353589. The next prime is 1282420353601. The reversal of 1282420353600 is 63530242821.

The square root of 1282420353600 is 1132440.

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

1282420353600 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 42 + 0 + 3 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6568778304 + 1275851575296 = 81048^2 + 1129536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1282420353601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 135888082 + ... + 135897518.

Almost surely, 2^{1282420353600} is an apocalyptic number.

1282420353600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1282420353600 is the 1132440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282420353600

1282420353600 is an abundant number, since it is smaller than the sum of its proper divisors (3276087423067).

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

1282420353600 is an frugal number, since it uses more digits than its factorization.

1282420353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 1282420353600 by its sum of digits (36), we get a square (46167132729600 = 6794640²).

1282420353600 divided by its sum of digits (36) gives a square (35622787600 = 188740²).

The spelling of 1282420353600 in words is "one trillion, two hundred eighty-two billion, four hundred twenty million, three hundred fifty-three thousand, six hundred".