12920802787350 has 288 divisors, whose sum is σ = 35381938857408. Its totient is φ = 3379783680000.

The previous prime is 12920802787349. The next prime is 12920802787351. The reversal of 12920802787350 is 5378720802921.

12920802787350 is a `hidden beast` number, since 1 + 2 + 9 + 208 + 0 + 2 + 7 + 87 + 350 = 666.

It is an interprime number because it is at equal distance from previous prime (12920802787349) and next prime (12920802787351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920802787351) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6208938310 + ... + 6208940390.

It is an arithmetic number, because the mean of its divisors is an integer number (122853954366).

Almost surely, 2^{12920802787350} is an apocalyptic number.

12920802787350 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 12920802787350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690969428704).

12920802787350 is an abundant number, since it is smaller than the sum of its proper divisors (22461136070058).

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

12920802787350 is a wasteful number, since it uses less digits than its factorization.

12920802787350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12920802787350 in words is "twelve trillion, nine hundred twenty billion, eight hundred two million, seven hundred eighty-seven thousand, three hundred fifty".