13212115488 has 576 divisors, whose sum is σ = 47432915712. Its totient is φ = 3426877440.

The previous prime is 13212115487. The next prime is 13212115489. The reversal of 13212115488 is 88451121231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13212115487) and next prime (13212115489).

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

It is not an unprimeable number, because it can be changed into a prime (13212115487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79114381 + ... + 79114547.

It is an arithmetic number, because the mean of its divisors is an integer number (82348812).

Almost surely, 2^13212115488 is an apocalyptic number.

13212115488 is a gapful number since it is divisible by the number (18) 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 13212115488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716457856).

13212115488 is an abundant number, since it is smaller than the sum of its proper divisors (34220800224).

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

13212115488 is a wasteful number, since it uses less digits than its factorization.

13212115488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 13212115488 in words is "thirteen billion, two hundred twelve million, one hundred fifteen thousand, four hundred eighty-eight".