1134042120 has 192 divisors, whose sum is σ = 4047563520. Its totient is φ = 284580864.

The previous prime is 1134042101. The next prime is 1134042157. The reversal of 1134042120 is 212404311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1134042093 and 1134042102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161809 + ... + 168671.

It is an arithmetic number, because the mean of its divisors is an integer number (21081060).

Almost surely, 2^1134042120 is an apocalyptic number.

1134042120 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 1134042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023781760).

1134042120 is an abundant number, since it is smaller than the sum of its proper divisors (2913521400).

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

1134042120 is a wasteful number, since it uses less digits than its factorization.

1134042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1134042120 is about 33675.5418664645. The cubic root of 1134042120 is about 1042.8209042622.

Adding to 1134042120 its reverse (212404311), we get a palindrome (1346446431).

The spelling of 1134042120 in words is "one billion, one hundred thirty-four million, forty-two thousand, one hundred twenty".