1129480072900 has 27 divisors (see below), whose sum is σ = 2450994820519. Its totient is φ = 451787778080.

The previous prime is 1129480072841. The next prime is 1129480072943. The reversal of 1129480072900 is 92700849211.

It is a happy number.

The square root of 1129480072900 is 1062770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 399972764356 + 729507308544 = 632434^2 + 854112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10574562 + ... + 10680838.

Almost surely, 2^{1129480072900} is an apocalyptic number.

1129480072900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1129480072900 is the 1062770-th square number.

It is an amenable number.

1129480072900 is an abundant number, since it is smaller than the sum of its proper divisors (1321514747619).

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

1129480072900 is an frugal number, since it uses more digits than its factorization.

1129480072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212568 (or 106284 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 1129480072900 in words is "one trillion, one hundred twenty-nine billion, four hundred eighty million, seventy-two thousand, nine hundred".