12153530240 has 64 divisors (see below), whose sum is σ = 29276525520. Its totient is φ = 4824268800.

The previous prime is 12153530237. The next prime is 12153530273. The reversal of 12153530240 is 4203535121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 11360 + ... + 156320.

Almost surely, 2^12153530240 is an apocalyptic number.

12153530240 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 12153530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638262760).

12153530240 is an abundant number, since it is smaller than the sum of its proper divisors (17122995280).

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

12153530240 is a wasteful number, since it uses less digits than its factorization.

12153530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145111 (or 145099 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 12153530240 in words is "twelve billion, one hundred fifty-three million, five hundred thirty thousand, two hundred forty".