12612096 has 240 divisors, whose sum is σ = 45961344. Its totient is φ = 3244032.

The previous prime is 12612091. The next prime is 12612109. The reversal of 12612096 is 69021621.

12612096 = T₁₀₃ + T₁₀₄ + ... + T₄₂₄.

12612096 = 196² + 197² + ... + 356².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548341 + ... + 548363.

Almost surely, 2^12612096 is an apocalyptic number.

12612096 is a gapful number since it is divisible by the number (16) 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 12612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672).

12612096 is an abundant number, since it is smaller than the sum of its proper divisors (33349248).

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

12612096 is a wasteful number, since it uses less digits than its factorization.

12612096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12612096 is about 3551.3512921140. The cubic root of 12612096 is about 232.7711162663.

The spelling of 12612096 in words is "twelve million, six hundred twelve thousand, ninety-six".