1124420116032 has 336 divisors, whose sum is σ = 3406224856320. Its totient is φ = 354242617344.

The previous prime is 1124420116031. The next prime is 1124420116037. The reversal of 1124420116032 is 2306110244211.

1124420116032 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 42 + 0 + 11 + 603 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1124420115987 and 1124420116005.

It is not an unprimeable number, because it can be changed into a prime (1124420116031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103599118 + ... + 103609970.

Almost surely, 2^{1124420116032} is an apocalyptic number.

1124420116032 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 1124420116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703112428160).

1124420116032 is an abundant number, since it is smaller than the sum of its proper divisors (2281804740288).

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

1124420116032 is a wasteful number, since it uses less digits than its factorization.

1124420116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1124420116032 in words is "one trillion, one hundred twenty-four billion, four hundred twenty million, one hundred sixteen thousand, thirty-two".