13022263240272 has 640 divisors, whose sum is σ = 45237404620800. Its totient is φ = 3533771059200.

The previous prime is 13022263240237. The next prime is 13022263240307. The reversal of 13022263240272 is 27204236222031.

13022263240272 is a `hidden beast` number, since 1 + 302 + 2 + 2 + 6 + 324 + 0 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13022263240237) and next prime (13022263240307).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 453359703 + ... + 453388425.

It is an arithmetic number, because the mean of its divisors is an integer number (70683444720).

Almost surely, 2^{13022263240272} is an apocalyptic number.

13022263240272 is a gapful number since it is divisible by the number (12) 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 13022263240272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618702310400).

13022263240272 is an abundant number, since it is smaller than the sum of its proper divisors (32215141380528).

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

13022263240272 is a wasteful number, since it uses less digits than its factorization.

13022263240272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28984 (or 28972 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 13022263240272 in words is "thirteen trillion, twenty-two billion, two hundred sixty-three million, two hundred forty thousand, two hundred seventy-two".