Search a number
-
+
12012002604 = 2232711323733
BaseRepresentation
bin10110010111111100…
…01001110100101100
31011000010200221211100
423023332021310230
5144100033040404
65303534523100
7603445223520
oct131376116454
934003627740
1012012002604
11510450a388
1223b2966490
1311957a7a64
1481d463d80
154a4841d39
hex2cbf89d2c

12012002604 has 108 divisors (see below), whose sum is σ = 35020528816. Its totient is φ = 3400717824.

The previous prime is 12012002591. The next prime is 12012002617. The reversal of 12012002604 is 40620021021.

12012002604 is a `hidden beast` number, since 1 + 201 + 200 + 260 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12012002591) and next prime (12012002617).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3215922 + ... + 3219654.

Almost surely, 212012002604 is an apocalyptic number.

12012002604 is a gapful number since it is divisible by the number (14) 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 12012002604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510264408).

12012002604 is an abundant number, since it is smaller than the sum of its proper divisors (23008526212).

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

12012002604 is a wasteful number, since it uses less digits than its factorization.

12012002604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12012002604 its reverse (40620021021), we get a palindrome (52632023625).

The spelling of 12012002604 in words is "twelve billion, twelve million, two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 3733 4068 4746 7119 7466 9492 11199 12769 14238 14932 22398 25538 26131 28476 33597 38307 44796 51076 52262 67194 76614 78393 89383 104524 114921 134388 153228 156786 178766 229842 235179 268149 313572 357532 421829 459684 470358 536298 804447 843658 940716 1072596 1265487 1608894 1687316 2530974 2952803 3217788 3796461 5061948 5905606 7592922 8858409 11811212 15185844 17716818 26575227 35433636 47666677 53150454 95333354 106300908 143000031 190666708 286000062 333666739 429000093 572000124 667333478 858000186 1001000217 1334666956 1716000372 2002000434 3003000651 4004000868 6006001302 12012002604