1124415312120 has 160 divisors (see below), whose sum is σ = 3780162064800. Its totient is φ = 299774483712.

The previous prime is 1124415312101. The next prime is 1124415312121. The reversal of 1124415312120 is 212135144211.

1124415312120 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 1 + 531 + 2 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124415312121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14759086 + ... + 14835074.

It is an arithmetic number, because the mean of its divisors is an integer number (23626012905).

Almost surely, 2^{1124415312120} is an apocalyptic number.

1124415312120 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 1124415312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890081032400).

1124415312120 is an abundant number, since it is smaller than the sum of its proper divisors (2655746752680).

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

1124415312120 is a wasteful number, since it uses less digits than its factorization.

1124415312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80579 (or 80566 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1124415312120 in words is "one trillion, one hundred twenty-four billion, four hundred fifteen million, three hundred twelve thousand, one hundred twenty".