12235313139840 has 2304 divisors, whose sum is σ = 53115304919040. Its totient is φ = 2688505344000.

The previous prime is 12235313139827. The next prime is 12235313139853. The reversal of 12235313139840 is 4893131353221.

12235313139840 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 531 + 3 + 1 + 39 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12235313139827) and next prime (12235313139853).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81028563765 + ... + 81028563915.

It is an arithmetic number, because the mean of its divisors is an integer number (23053517760).

Almost surely, 2^{12235313139840} is an apocalyptic number.

12235313139840 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 12235313139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557652459520).

12235313139840 is an abundant number, since it is smaller than the sum of its proper divisors (40879991779200).

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

12235313139840 is an frugal number, since it uses more digits than its factorization.

12235313139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12235313139840 in words is "twelve trillion, two hundred thirty-five billion, three hundred thirteen million, one hundred thirty-nine thousand, eight hundred forty".