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12968912 = 2411312377
BaseRepresentation
bin110001011110…
…001111010000
3220101220000002
4301132033100
511310001122
61141545132
7215143145
oct61361720
926356002
1012968912
117358810
1244151a8
1328c1018
141a183cc
151212992
hexc5e3d0

12968912 has 40 divisors (see below), whose sum is σ = 28307712. Its totient is φ = 5702400.

The previous prime is 12968903. The next prime is 12968927. The reversal of 12968912 is 21986921.

12968912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4268 + ... + 6644.

Almost surely, 212968912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12968912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153856).

12968912 is an abundant number, since it is smaller than the sum of its proper divisors (15338800).

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

12968912 is a wasteful number, since it uses less digits than its factorization.

12968912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 12968912 is about 3601.2375650601. The cubic root of 12968912 is about 234.9458876464.

Subtracting 12968912 from its reverse (21986921), we obtain a square (9018009 = 30032).

It can be divided in two parts, 12968 and 912, that multiplied together give a triangular number (11826816 = T4863).

The spelling of 12968912 in words is "twelve million, nine hundred sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2377 2728 4754 5456 9508 19016 26147 38032 52294 73687 104588 147374 209176 294748 418352 589496 810557 1178992 1621114 3242228 6484456 12968912