Search a number
-
+
12120010 = 257412103
BaseRepresentation
bin101110001110…
…111111001010
3211210202112021
4232032333022
511100320020
61111435054
7205006210
oct56167712
924722467
1012120010
116928a41
124085a8a
132684806
141876cb0
1510e61aa
hexb8efca

12120010 has 48 divisors (see below), whose sum is σ = 25803648. Its totient is φ = 4014720.

The previous prime is 12120001. The next prime is 12120019. The reversal of 12120010 is 1002121.

12120010 = T111 + T112 + ... + T419.

It is an interprime number because it is at equal distance from previous prime (12120001) and next prime (12120019).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 12119975 and 12120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117619 + ... + 117721.

It is an arithmetic number, because the mean of its divisors is an integer number (537576).

Almost surely, 212120010 is an apocalyptic number.

12120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120010 is an abundant number, since it is smaller than the sum of its proper divisors (13683638).

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

12120010 is a wasteful number, since it uses less digits than its factorization.

12120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 12120010 is about 3481.3804733180. The cubic root of 12120010 is about 229.7035247431.

Adding to 12120010 its reverse (1002121), we get a palindrome (13122131).

The spelling of 12120010 in words is "twelve million, one hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 103 205 206 287 410 515 574 721 1030 1435 1442 1681 2870 3362 3605 4223 7210 8405 8446 11767 16810 21115 23534 29561 42230 58835 59122 117670 147805 173143 295610 346286 865715 1212001 1731430 2424002 6060005 12120010