1124226335232 has 2560 divisors, whose sum is σ = 4870488268800. Its totient is φ = 249389383680.

The previous prime is 1124226335227. The next prime is 1124226335251. The reversal of 1124226335232 is 2325336224211.

1124226335232 is a `hidden beast` number, since 1 + 1 + 2 + 42 + 263 + 352 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19054683619 + ... + 19054683677.

It is an arithmetic number, because the mean of its divisors is an integer number (1902534480).

Almost surely, 2^{1124226335232} is an apocalyptic number.

1124226335232 is a gapful number since it is divisible by the number (12) 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 1124226335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435244134400).

1124226335232 is an abundant number, since it is smaller than the sum of its proper divisors (3746261933568).

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

1124226335232 is an equidigital number, since it uses as much as digits as its factorization.

1124226335232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 1124226335232 in words is "one trillion, one hundred twenty-four billion, two hundred twenty-six million, three hundred thirty-five thousand, two hundred thirty-two".