13111235412000 has 384 divisors, whose sum is σ = 47321152010496. Its totient is φ = 3147008000000.

The previous prime is 13111235411983. The next prime is 13111235412019. The reversal of 13111235412000 is 21453211131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12840280 + ... + 13823720.

It is an arithmetic number, because the mean of its divisors is an integer number (123232166694).

Almost surely, 2^{13111235412000} is an apocalyptic number.

13111235412000 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 13111235412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23660576005248).

13111235412000 is an abundant number, since it is smaller than the sum of its proper divisors (34209916598496).

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

13111235412000 is a wasteful number, since it uses less digits than its factorization.

13111235412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983581 (or 983563 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 13111235412000 its reverse (21453211131), we get a palindrome (13132688623131).

The spelling of 13111235412000 in words is "thirteen trillion, one hundred eleven billion, two hundred thirty-five million, four hundred twelve thousand".