1129607388000 has 2304 divisors, whose sum is σ = 5220130406400. Its totient is φ = 229630464000.

The previous prime is 1129607387959. The next prime is 1129607388001. The reversal of 1129607388000 is 8837069211.

1129607388000 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 607 + 38 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129607388001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4976243887 + ... + 4976244113.

It is an arithmetic number, because the mean of its divisors is an integer number (2265681600).

Almost surely, 2^{1129607388000} is an apocalyptic number.

1129607388000 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 1129607388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610065203200).

1129607388000 is an abundant number, since it is smaller than the sum of its proper divisors (4090523018400).

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

1129607388000 is a wasteful number, since it uses less digits than its factorization.

1129607388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1129607388000 in words is "one trillion, one hundred twenty-nine billion, six hundred seven million, three hundred eighty-eight thousand".