12360212544240 has 960 divisors, whose sum is σ = 47173574448000. Its totient is φ = 2874241843200.

The previous prime is 12360212544107. The next prime is 12360212544257. The reversal of 12360212544240 is 4244521206321.

12360212544240 is a `hidden beast` number, since 1 + 2 + 3 + 60 + 2 + 12 + 544 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12360212544195 and 12360212544204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4849042486 + ... + 4849045034.

It is an arithmetic number, because the mean of its divisors is an integer number (49139140050).

Almost surely, 2^{12360212544240} is an apocalyptic number.

12360212544240 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 12360212544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586787224000).

12360212544240 is an abundant number, since it is smaller than the sum of its proper divisors (34813361903760).

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

12360212544240 is a wasteful number, since it uses less digits than its factorization.

12360212544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12360212544240 in words is "twelve trillion, three hundred sixty billion, two hundred twelve million, five hundred forty-four thousand, two hundred forty".