1268484112900 has 135 divisors (see below), whose sum is σ = 2864165115945. Its totient is φ = 487629859200.

The previous prime is 1268484112879. The next prime is 1268484112957. The reversal of 1268484112900 is 92114848621.

The square root of 1268484112900 is 1126270.

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

It can be written as a sum of positive squares in 7 ways, for example, as 993127847364 + 275356265536 = 996558^2 + 524744^2 .

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 44 ways as a sum of consecutive naturals, for example, 18932598667 + ... + 18932598733.

Almost surely, 2^{1268484112900} is an apocalyptic number.

1268484112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1268484112900 is the 1126270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268484112900

1268484112900 is an abundant number, since it is smaller than the sum of its proper divisors (1595681003045).

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

1268484112900 is an frugal number, since it uses more digits than its factorization.

1268484112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

It can be divided in two parts, 12684 and 84112900, that added together give a square (84125584 = 9172²).

The spelling of 1268484112900 in words is "one trillion, two hundred sixty-eight billion, four hundred eighty-four million, one hundred twelve thousand, nine hundred".