1134124151200 has 288 divisors, whose sum is σ = 2998069986240. Its totient is φ = 417606451200.

The previous prime is 1134124151189. The next prime is 1134124151263. The reversal of 1134124151200 is 21514214311.

It is a happy number.

It is a super-2 number, since 2×1134124151200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76950232 + ... + 76964968.

It is an arithmetic number, because the mean of its divisors is an integer number (10409965230).

Almost surely, 2^{1134124151200} is an apocalyptic number.

1134124151200 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 1134124151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499034993120).

1134124151200 is an abundant number, since it is smaller than the sum of its proper divisors (1863945835040).

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

1134124151200 is a wasteful number, since it uses less digits than its factorization.

1134124151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1134124151200 its reverse (21514214311), we get a palindrome (1155638365511).

The spelling of 1134124151200 in words is "one trillion, one hundred thirty-four billion, one hundred twenty-four million, one hundred fifty-one thousand, two hundred".