13212010240 has 576 divisors, whose sum is σ = 40794969600. Its totient is φ = 4025548800.

The previous prime is 13212010219. The next prime is 13212010271. The reversal of 13212010240 is 4201021231.

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

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, 100854975 + ... + 100855105.

It is an arithmetic number, because the mean of its divisors is an integer number (70824600).

Almost surely, 2^13212010240 is an apocalyptic number.

13212010240 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 13212010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397484800).

13212010240 is an abundant number, since it is smaller than the sum of its proper divisors (27582959360).

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

13212010240 is a wasteful number, since it uses less digits than its factorization.

13212010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13212010240 its reverse (4201021231), we get a palindrome (17413031471).

The spelling of 13212010240 in words is "thirteen billion, two hundred twelve million, ten thousand, two hundred forty".