1129182516900 has 135 divisors (see below), whose sum is σ = 3660673665649. Its totient is φ = 301089834720.

The previous prime is 1129182516883. The next prime is 1129182516941. The reversal of 1129182516900 is 96152819211.

The square root of 1129182516900 is 1062630.

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

1129182516900 is a `hidden beast` number, since 1 + 129 + 1 + 8 + 2 + 516 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406505706084 + 722676810816 = 637578^2 + 850104^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×1129182516900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95630797 + ... + 95642603.

Almost surely, 2^{1129182516900} is an apocalyptic number.

1129182516900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1129182516900 is the 1062630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129182516900

1129182516900 is an abundant number, since it is smaller than the sum of its proper divisors (2531491148749).

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

1129182516900 is an frugal number, since it uses more digits than its factorization.

1129182516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23640 (or 11817 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1129182516900 in words is "one trillion, one hundred twenty-nine billion, one hundred eighty-two million, five hundred sixteen thousand, nine hundred".