13223372988000 has 384 divisors, whose sum is σ = 49522942909440. Its totient is φ = 3021591859200.

The previous prime is 13223372987933. The next prime is 13223372988053. The reversal of 13223372988000 is 88927332231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308510571 + ... + 308553429.

It is an arithmetic number, because the mean of its divisors is an integer number (128965997160).

Almost surely, 2^{13223372988000} is an apocalyptic number.

13223372988000 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 13223372988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24761471454720).

13223372988000 is an abundant number, since it is smaller than the sum of its proper divisors (36299569921440).

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

13223372988000 is a wasteful number, since it uses less digits than its factorization.

13223372988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46567 (or 46549 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13223372988000 in words is "thirteen trillion, two hundred twenty-three billion, three hundred seventy-two million, nine hundred eighty-eight thousand".