12001768249350 has 144 divisors (see below), whose sum is σ = 32723922941136. Its totient is φ = 2908835001600.

The previous prime is 12001768249333. The next prime is 12001768249379. The reversal of 12001768249350 is 5394286710021.

It is a super-2 number, since 2×12001768249350² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12001768249350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79294344 + ... + 79445556.

It is an arithmetic number, because the mean of its divisors is an integer number (227249464869).

It is a 1-persistent number, because it is pandigital, but 2⋅12001768249350 = 24003536498700 is not.

Almost surely, 2^{12001768249350} is an apocalyptic number.

12001768249350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001768249350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361961470568).

12001768249350 is an abundant number, since it is smaller than the sum of its proper divisors (20722154691786).

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

12001768249350 is a wasteful number, since it uses less digits than its factorization.

12001768249350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155623 (or 155607 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 12001768249350 in words is "twelve trillion, one billion, seven hundred sixty-eight million, two hundred forty-nine thousand, three hundred fifty".