12215301120 has 704 divisors, whose sum is σ = 49167302400. Its totient is φ = 2848849920.

The previous prime is 12215301113. The next prime is 12215301157. The reversal of 12215301120 is 2110351221.

12215301120 is a `hidden beast` number, since 1 + 2 + 21 + 530 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12215301093 and 12215301102.

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, 44098422 + ... + 44098698.

Almost surely, 2^12215301120 is an apocalyptic number.

12215301120 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 12215301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24583651200).

12215301120 is an abundant number, since it is smaller than the sum of its proper divisors (36952001280).

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

12215301120 is a wasteful number, since it uses less digits than its factorization.

12215301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12215301120 its reverse (2110351221), we get a palindrome (14325652341).

The spelling of 12215301120 in words is "twelve billion, two hundred fifteen million, three hundred one thousand, one hundred twenty".