1134221011000 has 1024 divisors, whose sum is σ = 3702052823040. Its totient is φ = 314265600000.

The previous prime is 1134221010971. The next prime is 1134221011057. The reversal of 1134221011000 is 1101224311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3040806814 + ... + 3040807186.

It is an arithmetic number, because the mean of its divisors is an integer number (3615285960).

Almost surely, 2^{1134221011000} is an apocalyptic number.

1134221011000 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 1134221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851026411520).

1134221011000 is an abundant number, since it is smaller than the sum of its proper divisors (2567831812040).

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

1134221011000 is a wasteful number, since it uses less digits than its factorization.

1134221011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1134221011000 its reverse (1101224311), we get a palindrome (1135322235311).

The spelling of 1134221011000 in words is "one trillion, one hundred thirty-four billion, two hundred twenty-one million, eleven thousand".