13212121120 has 96 divisors (see below), whose sum is σ = 34775951616. Its totient is φ = 4702156800.

The previous prime is 13212121103. The next prime is 13212121121. The reversal of 13212121120 is 2112121231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13212121094 and 13212121103.

It is not an unprimeable number, because it can be changed into a prime (13212121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2860 + ... + 162580.

It is an arithmetic number, because the mean of its divisors is an integer number (362249496).

Almost surely, 2^13212121120 is an apocalyptic number.

13212121120 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 13212121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387975808).

13212121120 is an abundant number, since it is smaller than the sum of its proper divisors (21563830496).

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

13212121120 is a wasteful number, since it uses less digits than its factorization.

13212121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159794 (or 159786 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13212121120 its reverse (2112121231), we get a palindrome (15324242351).

It can be divided in two parts, 132121211 and 20, that added together give a palindrome (132121231).

The spelling of 13212121120 in words is "thirteen billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".