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12121144 = 237263823
BaseRepresentation
bin101110001111…
…010000111000
3211210211002021
4232033100320
511100334034
61111444224
7205012420
oct56172070
924724067
1012121144
116929882
124086674
132685199
141877480
1510e66b4
hexb8f438

12121144 has 32 divisors (see below), whose sum is σ = 26104320. Its totient is φ = 5168736.

The previous prime is 12121133. The next prime is 12121147. The reversal of 12121144 is 44112121.

It is a happy number.

12121144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14317 + ... + 15139.

It is an arithmetic number, because the mean of its divisors is an integer number (815760).

Almost surely, 212121144 is an apocalyptic number.

12121144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12121144 is an abundant number, since it is smaller than the sum of its proper divisors (13983176).

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

12121144 is a wasteful number, since it uses less digits than its factorization.

12121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1095 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 12121144 is about 3481.5433359359. The cubic root of 12121144 is about 229.7106885346.

Adding to 12121144 its reverse (44112121), we get a palindrome (56233265).

The spelling of 12121144 in words is "twelve million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 263 526 823 1052 1646 1841 2104 3292 3682 5761 6584 7364 11522 14728 23044 46088 216449 432898 865796 1515143 1731592 3030286 6060572 12121144