12152135502240 has 384 divisors, whose sum is σ = 39988795392000. Its totient is φ = 3098495877120.

The previous prime is 12152135502233. The next prime is 12152135502281. The reversal of 12152135502240 is 4220553125121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688146531 + ... + 688164189.

It is an arithmetic number, because the mean of its divisors is an integer number (104137488000).

Almost surely, 2^{12152135502240} is an apocalyptic number.

12152135502240 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 12152135502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994397696000).

12152135502240 is an abundant number, since it is smaller than the sum of its proper divisors (27836659889760).

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

12152135502240 is a wasteful number, since it uses less digits than its factorization.

12152135502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18260 (or 18252 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 12152135502240 its reverse (4220553125121), we get a palindrome (16372688627361).

The spelling of 12152135502240 in words is "twelve trillion, one hundred fifty-two billion, one hundred thirty-five million, five hundred two thousand, two hundred forty".