12616120 has 64 divisors (see below), whose sum is σ = 31609440. Its totient is φ = 4492800.

The previous prime is 12616117. The next prime is 12616127. The reversal of 12616120 is 2161621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12616127) 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, 23050 + ... + 23590.

Almost surely, 2^12616120 is an apocalyptic number.

12616120 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 12616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804720).

12616120 is an abundant number, since it is smaller than the sum of its proper divisors (18993320).

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

12616120 is a wasteful number, since it uses less digits than its factorization.

12616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12616120 is about 3551.9177918415. The cubic root of 12616120 is about 232.7958695236.

Adding to 12616120 its reverse (2161621), we get a palindrome (14777741).

It can be divided in two parts, 1261 and 6120, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 12616120 in words is "twelve million, six hundred sixteen thousand, one hundred twenty".