1129291012800 has 252 divisors, whose sum is σ = 4089501112320. Its totient is φ = 295462103040.

The previous prime is 1129291012771. The next prime is 1129291012831. The reversal of 1129291012800 is 82101929211.

1129291012800 is a `hidden beast` number, since 1 + 1 + 292 + 91 + 0 + 1 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23361 + ... + 1503039.

Almost surely, 2^{1129291012800} is an apocalyptic number.

1129291012800 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 1129291012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044750556160).

1129291012800 is an abundant number, since it is smaller than the sum of its proper divisors (2960210099520).

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

1129291012800 is a wasteful number, since it uses less digits than its factorization.

1129291012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479760 (or 1479742 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 1129291012800 in words is "one trillion, one hundred twenty-nine billion, two hundred ninety-one million, twelve thousand, eight hundred".