12145056 has 192 divisors, whose sum is σ = 41803776. Its totient is φ = 2995200.

The previous prime is 12145043. The next prime is 12145057. The reversal of 12145056 is 65054121.

12145056 is a nontrivial binomial coefficient, being equal to C(4929, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229126 + ... + 229178.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 2^12145056 is an apocalyptic number.

12145056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12145056 is the 4928-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

12145056 is an abundant number, since it is smaller than the sum of its proper divisors (29658720).

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

12145056 is a wasteful number, since it uses less digits than its factorization.

12145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 12145056 is about 3484.9757531438. The cubic root of 12145056 is about 229.8616433162.

Adding to 12145056 its reverse (65054121), we get a palindrome (77199177).

It can be divided in two parts, 121 and 45056, that multiplied together give a cube (5451776 = 176³).

The spelling of 12145056 in words is "twelve million, one hundred forty-five thousand, fifty-six".