1121824512 has 144 divisors (see below), whose sum is σ = 3350116000. Its totient is φ = 370262016.

The previous prime is 1121824499. The next prime is 1121824519. The reversal of 1121824512 is 2154281211.

1121824512 is a `hidden beast` number, since 1 + 121 + 8 + 24 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1121824519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752664 + ... + 754152.

Almost surely, 2^1121824512 is an apocalyptic number.

1121824512 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 1121824512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675058000).

1121824512 is an abundant number, since it is smaller than the sum of its proper divisors (2228291488).

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

1121824512 is a wasteful number, since it uses less digits than its factorization.

1121824512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1603 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 1121824512 is about 33493.6488307858. The cubic root of 1121824512 is about 1039.0624291859.

The spelling of 1121824512 in words is "one billion, one hundred twenty-one million, eight hundred twenty-four thousand, five hundred twelve".