1129505903232 has 128 divisors (see below), whose sum is σ = 3429396835200. Its totient is φ = 322665185280.

The previous prime is 1129505903203. The next prime is 1129505903233. The reversal of 1129505903232 is 2323095059211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1129505903232² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1129505903233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19111744 + ... + 19170752.

It is an arithmetic number, because the mean of its divisors is an integer number (26792162775).

Almost surely, 2^{1129505903232} is an apocalyptic number.

1129505903232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129505903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714698417600).

1129505903232 is an abundant number, since it is smaller than the sum of its proper divisors (2299890931968).

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

1129505903232 is an equidigital number, since it uses as much as digits as its factorization.

1129505903232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66154 (or 66142 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 1129505903232 in words is "one trillion, one hundred twenty-nine billion, five hundred five million, nine hundred three thousand, two hundred thirty-two".