12161520 has 240 divisors, whose sum is σ = 49520640. Its totient is φ = 2612736.

The previous prime is 12161489. The next prime is 12161521. The reversal of 12161520 is 2516121.

12161520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 12161493 and 12161502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95697 + ... + 95823.

It is an arithmetic number, because the mean of its divisors is an integer number (206336).

Almost surely, 2^12161520 is an apocalyptic number.

12161520 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 12161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760320).

12161520 is an abundant number, since it is smaller than the sum of its proper divisors (37359120).

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

12161520 is a wasteful number, since it uses less digits than its factorization.

12161520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

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

The square root of 12161520 is about 3487.3370929694. The cubic root of 12161520 is about 229.9654642537.

Adding to 12161520 its reverse (2516121), we get a palindrome (14677641).

The spelling of 12161520 in words is "twelve million, one hundred sixty-one thousand, five hundred twenty".