12121130320 has 80 divisors (see below), whose sum is σ = 30618321552. Its totient is φ = 4435845120.

The previous prime is 12121130309. The next prime is 12121130327. The reversal of 12121130320 is 2303112121.

It can be written as a sum of positive squares in 8 ways, for example, as 634435344 + 11486694976 = 25188^2 + 107176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 = 12121130294 and 12121130303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121130327) 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, 65950 + ... + 169090.

Almost surely, 2^12121130320 is an apocalyptic number.

12121130320 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 12121130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309160776).

12121130320 is an abundant number, since it is smaller than the sum of its proper divisors (18497191232).

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

12121130320 is a wasteful number, since it uses less digits than its factorization.

12121130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103280 (or 103274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12121130320 its reverse (2303112121), we get a palindrome (14424242441).

The spelling of 12121130320 in words is "twelve billion, one hundred twenty-one million, one hundred thirty thousand, three hundred twenty".