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12121368 = 2337233137
BaseRepresentation
bin101110001111…
…010100011000
3211210211101120
4232033110120
511100340433
61111445240
7205013160
oct56172430
924724346
1012121368
116929a66
124086820
13268530c
1418775a0
1510e67b3
hexb8f518

12121368 has 64 divisors (see below), whose sum is σ = 36149760. Its totient is φ = 3311616.

The previous prime is 12121367. The next prime is 12121379. The reversal of 12121368 is 86312121.

12121368 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

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

12121368 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2296 + ... + 5432.

It is an arithmetic number, because the mean of its divisors is an integer number (564840).

Almost surely, 212121368 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 12121368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18074880).

12121368 is an abundant number, since it is smaller than the sum of its proper divisors (24028392).

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

12121368 is a wasteful number, since it uses less digits than its factorization.

12121368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3172 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 12121368 is about 3481.5755054285. The cubic root of 12121368 is about 229.7121035517.

Adding to 12121368 its reverse (86312121), we get a palindrome (98433489).

The spelling of 12121368 in words is "twelve million, one hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3137 3864 6274 9411 12548 18822 21959 25096 37644 43918 65877 72151 75288 87836 131754 144302 175672 216453 263508 288604 432906 505057 527016 577208 865812 1010114 1515171 1731624 2020228 3030342 4040456 6060684 12121368