1129399401312 has 768 divisors, whose sum is σ = 4274513510400. Its totient is φ = 282093373440.

The previous prime is 1129399401233. The next prime is 1129399401341. The reversal of 1129399401312 is 2131049939211.

1129399401312 is a `hidden beast` number, since 1 + 1 + 293 + 9 + 9 + 40 + 1 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114550239 + ... + 114560097.

It is an arithmetic number, because the mean of its divisors is an integer number (5565772800).

Almost surely, 2^{1129399401312} is an apocalyptic number.

1129399401312 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 1129399401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137256755200).

1129399401312 is an abundant number, since it is smaller than the sum of its proper divisors (3145114109088).

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

1129399401312 is a wasteful number, since it uses less digits than its factorization.

1129399401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 1129399401312 in words is "one trillion, one hundred twenty-nine billion, three hundred ninety-nine million, four hundred one thousand, three hundred twelve".