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12001001004 = 22321732238641
BaseRepresentation
bin10110010110101000…
…01011111000101100
31010222101000000110200
423023110023320230
5144034224013004
65302503033500
7603252553056
oct131324137054
933871000420
1012001001004
1150a9285753
1223ab13b890
131193425335
1481bbdc8d6
154a38bc239
hex2cb50be2c

12001001004 has 72 divisors (see below), whose sum is σ = 30651583872. Its totient is φ = 3958917120.

The previous prime is 12001000997. The next prime is 12001001011. The reversal of 12001001004 is 40010010021.

It is a happy number.

12001001004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12001000997) and next prime (12001001011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384524 + ... + 1393164.

Almost surely, 212001001004 is an apocalyptic number.

It is an amenable number.

12001001004 is an abundant number, since it is smaller than the sum of its proper divisors (18650582868).

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

12001001004 is a wasteful number, since it uses less digits than its factorization.

12001001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9047 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001001004 its reverse (40010010021), we get a palindrome (52011011025).

The spelling of 12001001004 in words is "twelve billion, one million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 173 223 346 446 519 669 692 892 1038 1338 1557 2007 2076 2676 3114 4014 6228 8028 8641 17282 25923 34564 38579 51846 77158 77769 103692 115737 154316 155538 231474 311076 347211 462948 694422 1388844 1494893 1926943 2989786 3853886 4484679 5780829 5979572 7707772 8969358 11561658 13454037 17342487 17938716 23123316 26908074 34684974 53816148 69369948 333361139 666722278 1000083417 1333444556 2000166834 3000250251 4000333668 6000500502 12001001004