1124728012800 has 2304 divisors, whose sum is σ = 5138447308800. Its totient is φ = 229323571200.

The previous prime is 1124728012799. The next prime is 1124728012813. The reversal of 1124728012800 is 82108274211.

It is a happy number.

1124728012800 is a `hidden beast` number, since 11 + 247 + 280 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 30398054382 + ... + 30398054418.

Almost surely, 2^{1124728012800} is an apocalyptic number.

1124728012800 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 1124728012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569223654400).

1124728012800 is an abundant number, since it is smaller than the sum of its proper divisors (4013719296000).

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

1124728012800 is a wasteful number, since it uses less digits than its factorization.

1124728012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1124728012800 in words is "one trillion, one hundred twenty-four billion, seven hundred twenty-eight million, twelve thousand, eight hundred".