1152321120 has 384 divisors, whose sum is σ = 4318272000. Its totient is φ = 286156800.

The previous prime is 1152321109. The next prime is 1152321127. The reversal of 1152321120 is 211232511.

1152321120 is a `hidden beast` number, since 1 + 1 + 523 + 21 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1152321093 and 1152321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152321127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8290011 + ... + 8290149.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2^1152321120 is an apocalyptic number.

1152321120 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 1152321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136000).

1152321120 is an abundant number, since it is smaller than the sum of its proper divisors (3165950880).

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

1152321120 is a wasteful number, since it uses less digits than its factorization.

1152321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1152321120 is about 33945.8557117065. The cubic root of 1152321120 is about 1048.3939528563.

Adding to 1152321120 its reverse (211232511), we get a palindrome (1363553631).

The spelling of 1152321120 in words is "one billion, one hundred fifty-two million, three hundred twenty-one thousand, one hundred twenty".