1129746489120 has 240 divisors, whose sum is σ = 3990684225528. Its totient is φ = 300992163840.

The previous prime is 1129746489107. The next prime is 1129746489187. The reversal of 1129746489120 is 219846479211.

1129746489120 is a `hidden beast` number, since 1 + 1 + 2 + 97 + 464 + 8 + 91 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 363652417296 + 766094071824 = 603036^2 + 875268^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14437300 + ... + 14515340.

Almost surely, 2^{1129746489120} is an apocalyptic number.

1129746489120 is a gapful number since it is divisible by the number (10) 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 1129746489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995342112764).

1129746489120 is an abundant number, since it is smaller than the sum of its proper divisors (2860937736408).

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

1129746489120 is a wasteful number, since it uses less digits than its factorization.

1129746489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79185 (or 79168 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

Subtracting from 1129746489120 its reverse (219846479211), we obtain a palindrome (909900009909).

The spelling of 1129746489120 in words is "one trillion, one hundred twenty-nine billion, seven hundred forty-six million, four hundred eighty-nine thousand, one hundred twenty".