12153402240 has 256 divisors, whose sum is σ = 44537541120. Its totient is φ = 2761334784.

The previous prime is 12153402211. The next prime is 12153402241. The reversal of 12153402240 is 4220435121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12153402240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153402241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322507 + ... + 2327733.

It is an arithmetic number, because the mean of its divisors is an integer number (173974770).

Almost surely, 2^12153402240 is an apocalyptic number.

12153402240 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 12153402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22268770560).

12153402240 is an abundant number, since it is smaller than the sum of its proper divisors (32384138880).

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

12153402240 is a wasteful number, since it uses less digits than its factorization.

12153402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12153402240 its reverse (4220435121), we get a palindrome (16373837361).

It can be divided in two parts, 1215340 and 2240, that added together give a triangular number (1217580 = T₁₅₆₀).

The spelling of 12153402240 in words is "twelve billion, one hundred fifty-three million, four hundred two thousand, two hundred forty".