13511212000 has 576 divisors, whose sum is σ = 41437992960. Its totient is φ = 4283136000.

The previous prime is 13511211991. The next prime is 13511212003. The reversal of 13511212000 is 21211531.

13511212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13511212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171027961 + ... + 171028039.

It is an arithmetic number, because the mean of its divisors is an integer number (71940960).

Almost surely, 2^13511212000 is an apocalyptic number.

13511212000 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 13511212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718996480).

13511212000 is an abundant number, since it is smaller than the sum of its proper divisors (27926780960).

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

13511212000 is a wasteful number, since it uses less digits than its factorization.

13511212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 13511212000 its reverse (21211531), we get a palindrome (13532423531).

The spelling of 13511212000 in words is "thirteen billion, five hundred eleven million, two hundred twelve thousand".