1280722256100 has 729 divisors, whose sum is σ = 4976305195953. Its totient is φ = 274647582720.

The previous prime is 1280722256071. The next prime is 1280722256123. The reversal of 1280722256100 is 16522270821.

It is a happy number.

The square root of 1280722256100 is 1131690.

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

1280722256100 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 72 + 22 + 561 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1093434114276 + 187288141824 = 1045674^2 + 432768^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 242 ways as a sum of consecutive naturals, for example, 4040133142 + ... + 4040133458.

Almost surely, 2^{1280722256100} is an apocalyptic number.

1280722256100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1280722256100 is the 1131690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1280722256100

1280722256100 is an abundant number, since it is smaller than the sum of its proper divisors (3695582939853).

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

1280722256100 is a wasteful number, since it uses less digits than its factorization.

1280722256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 1280722256100 by its sum of digits (36), we get a square (46106001219600 = 6790140²).

1280722256100 divided by its sum of digits (36) gives a square (35575618225 = 188615²).

The spelling of 1280722256100 in words is "one trillion, two hundred eighty billion, seven hundred twenty-two million, two hundred fifty-six thousand, one hundred".