12968202240 has 936 divisors, whose sum is σ = 56529695040. Its totient is φ = 2686058496.

The previous prime is 12968202197. The next prime is 12968202251. The reversal of 12968202240 is 4220286921.

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 = 12968202195 and 12968202204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 563834869 + ... + 563834891.

Almost surely, 2^12968202240 is an apocalyptic number.

12968202240 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 12968202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28264847520).

12968202240 is an abundant number, since it is smaller than the sum of its proper divisors (43561492800).

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

12968202240 is a wasteful number, since it uses less digits than its factorization.

12968202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12968202240 in words is "twelve billion, nine hundred sixty-eight million, two hundred two thousand, two hundred forty".