13212291120 has 320 divisors, whose sum is σ = 49308272640. Its totient is φ = 2861236224.

The previous prime is 13212291091. The next prime is 13212291137. The reversal of 13212291120 is 2119221231.

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, 4210192 + ... + 4213328.

It is an arithmetic number, because the mean of its divisors is an integer number (154088352).

Almost surely, 2^13212291120 is an apocalyptic number.

13212291120 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 13212291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24654136320).

13212291120 is an abundant number, since it is smaller than the sum of its proper divisors (36095981520).

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

13212291120 is a wasteful number, since it uses less digits than its factorization.

13212291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 13212291120 in words is "thirteen billion, two hundred twelve million, two hundred ninety-one thousand, one hundred twenty".