1332501120 has 192 divisors, whose sum is σ = 4665796200. Its totient is φ = 350355456.

The previous prime is 1332501119. The next prime is 1332501127. The reversal of 1332501120 is 211052331.

1332501120 is a `hidden beast` number, since 13 + 32 + 501 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1249763904 + 82737216 = 35352^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1332501093 and 1332501102.

It is not an unprimeable number, because it can be changed into a prime (1332501127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418896 + ... + 422064.

Almost surely, 2^1332501120 is an apocalyptic number.

1332501120 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 1332501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332898100).

1332501120 is an abundant number, since it is smaller than the sum of its proper divisors (3333295080).

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

1332501120 is a wasteful number, since it uses less digits than its factorization.

1332501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1332501120 is about 36503.4398379112. The cubic root of 1332501120 is about 1100.4133763155.

Adding to 1332501120 its reverse (211052331), we get a palindrome (1543553451).

The spelling of 1332501120 in words is "one billion, three hundred thirty-two million, five hundred one thousand, one hundred twenty".