1129267077120 has 1792 divisors, whose sum is σ = 5064312960000. Its totient is φ = 237222494208.

The previous prime is 1129267077097. The next prime is 1129267077151. The reversal of 1129267077120 is 217707629211.

It is a tau number, because it is divible by the number of its divisors (1792).

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

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, 4931297166 + ... + 4931297394.

It is an arithmetic number, because the mean of its divisors is an integer number (2826067500).

Almost surely, 2^{1129267077120} is an apocalyptic number.

1129267077120 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 1129267077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532156480000).

1129267077120 is an abundant number, since it is smaller than the sum of its proper divisors (3935045882880).

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

1129267077120 is an equidigital number, since it uses as much as digits as its factorization.

1129267077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1129267077120 in words is "one trillion, one hundred twenty-nine billion, two hundred sixty-seven million, seventy-seven thousand, one hundred twenty".