13119506215200 has 3456 divisors, whose sum is σ = 62060477875200. Its totient is φ = 2666122905600.

The previous prime is 13119506215159. The next prime is 13119506215273. The reversal of 13119506215200 is 251260591131.

It is a happy number.

13119506215200 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 9 + 5 + 0 + 621 + 5 + 20 + 0 = 666.

It is a super-2 number, since 2×13119506215200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 94384936731 + ... + 94384936869.

It is an arithmetic number, because the mean of its divisors is an integer number (17957314200).

Almost surely, 2^{13119506215200} is an apocalyptic number.

13119506215200 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 13119506215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31030238937600).

13119506215200 is an abundant number, since it is smaller than the sum of its proper divisors (48940971660000).

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

13119506215200 is a wasteful number, since it uses less digits than its factorization.

13119506215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 13119506215200 in words is "thirteen trillion, one hundred nineteen billion, five hundred six million, two hundred fifteen thousand, two hundred".