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12121104 = 243673769
BaseRepresentation
bin101110001111…
…010000010000
3211210211000210
4232033100100
511100333404
61111444120
7205012332
oct56172020
924724023
1012121104
116929846
124086640
132685168
141877452
1510e6689
hexb8f410

12121104 has 40 divisors (see below), whose sum is σ = 31788640. Its totient is φ = 3979008.

The previous prime is 12121103. The next prime is 12121121. The reversal of 12121104 is 40112121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12121104.

It is not an unprimeable number, because it can be changed into a prime (12121103) 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, 1332 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (794716).

Almost surely, 212121104 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 12121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894320).

12121104 is an abundant number, since it is smaller than the sum of its proper divisors (19667536).

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

12121104 is a wasteful number, since it uses less digits than its factorization.

12121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12121104 is about 3481.5375913524. The cubic root of 12121104 is about 229.7104358511.

Adding to 12121104 its reverse (40112121), we get a palindrome (52233225).

The spelling of 12121104 in words is "twelve million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 3769 7538 11307 15076 22614 30152 45228 60304 90456 180912 252523 505046 757569 1010092 1515138 2020184 3030276 4040368 6060552 12121104