1134034101200 has 960 divisors, whose sum is σ = 3802753941504. Its totient is φ = 313528320000.

The previous prime is 1134034101199. The next prime is 1134034101217. The reversal of 1134034101200 is 21014304311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2619016184 + ... + 2619016616.

Almost surely, 2^{1134034101200} is an apocalyptic number.

1134034101200 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 1134034101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901376970752).

1134034101200 is an abundant number, since it is smaller than the sum of its proper divisors (2668719840304).

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

1134034101200 is a wasteful number, since it uses less digits than its factorization.

1134034101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1134034101200 its reverse (21014304311), we get a palindrome (1155048405511).

The spelling of 1134034101200 in words is "one trillion, one hundred thirty-four billion, thirty-four million, one hundred one thousand, two hundred".