1134522124400 has 240 divisors, whose sum is σ = 3178030075200. Its totient is φ = 381195386880.

The previous prime is 1134522124381. The next prime is 1134522124409. The reversal of 1134522124400 is 44212254311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134522124409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28139456 + ... + 28179744.

It is an arithmetic number, because the mean of its divisors is an integer number (13241791980).

Almost surely, 2^{1134522124400} is an apocalyptic number.

1134522124400 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 1134522124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589015037600).

1134522124400 is an abundant number, since it is smaller than the sum of its proper divisors (2043507950800).

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

1134522124400 is a wasteful number, since it uses less digits than its factorization.

1134522124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40516 (or 40505 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1134522124400 its reverse (44212254311), we get a palindrome (1178734378711).

The spelling of 1134522124400 in words is "one trillion, one hundred thirty-four billion, five hundred twenty-two million, one hundred twenty-four thousand, four hundred".