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12199968 = 2532113851
BaseRepresentation
bin101110100010…
…100000100000
3211221211012200
4232202200200
511110344333
61113253200
7205461264
oct56424040
924854180
1012199968
116983020
124104200
1326b2021
1418980a4
15110ec13
hexba2820

12199968 has 72 divisors (see below), whose sum is σ = 37857456. Its totient is φ = 3696000.

The previous prime is 12199951. The next prime is 12199969. The reversal of 12199968 is 86999121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12199969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1243 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (525798).

Almost surely, 212199968 is an apocalyptic number.

12199968 is a gapful number since it is divisible by the number (18) 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 12199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928728).

12199968 is an abundant number, since it is smaller than the sum of its proper divisors (25657488).

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

12199968 is a wasteful number, since it uses less digits than its factorization.

12199968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3867 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 12199968 is about 3492.8452585249. The cubic root of 12199968 is about 230.2075505216.

The spelling of 12199968 in words is "twelve million, one hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3851 7702 11553 15404 23106 30808 34659 42361 46212 61616 69318 84722 92424 123232 127083 138636 169444 184848 254166 277272 338888 369696 381249 508332 554544 677776 762498 1016664 1109088 1355552 1524996 2033328 3049992 4066656 6099984 12199968