12259940 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3611520.

The previous prime is 12259937. The next prime is 12259957. The reversal of 12259940 is 4995221.

12259940 = T₁ + T₂ + ... + T₄₁₈.

12259940 is a nontrivial binomial coefficient, being equal to C(420, 3).

It is a super-2 number, since 2×12259940² = 300612257607200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12259897 and 12259906.

It is a congruent number.

It is an unprimeable number.

It is the 418-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29051 + ... + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^12259940 is an apocalyptic number.

12259940 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 12259940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

12259940 is an abundant number, since it is smaller than the sum of its proper divisors (21608860).

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

12259940 is a wasteful number, since it uses less digits than its factorization.

12259940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 12259940 is about 3501.4197120597. The cubic root of 12259940 is about 230.5841484084.

It can be divided in two parts, 12 and 259940, that added together give a palindrome (259952).

The spelling of 12259940 in words is "twelve million, two hundred fifty-nine thousand, nine hundred forty".