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12002111001 = 323183523991
BaseRepresentation
bin10110010110110000…
…11010111000011001
31010222110002102002200
423023120122320121
5144040020023001
65302542520413
7603265155156
oct131330327031
933873072080
1012002111001
1150a9973701
1223ab596109
13119372363a
1481c00b22d
154a3a3b086
hex2cb61ae19

12002111001 has 48 divisors (see below), whose sum is σ = 18164170752. Its totient is φ = 7627672800.

The previous prime is 12002110973. The next prime is 12002111003. The reversal of 12002111001 is 10011120021.

It is a happy number.

12002111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002111001 - 27 = 12002110873 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12002111003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12110616 + ... + 12111606.

It is an arithmetic number, because the mean of its divisors is an integer number (378420224).

Almost surely, 212002111001 is an apocalyptic number.

It is an amenable number.

12002111001 is a deficient number, since it is larger than the sum of its proper divisors (6162059751).

12002111001 is a wasteful number, since it uses less digits than its factorization.

12002111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12002111001 its reverse (10011120021), we get a palindrome (22013231022).

The spelling of 12002111001 in words is "twelve billion, two million, one hundred eleven thousand, one".

Divisors: 1 3 9 31 83 93 249 279 523 747 991 1569 2573 2973 4707 7719 8919 16213 23157 30721 43409 48639 82253 92163 130227 145917 246759 276489 390681 518293 740277 1345679 1554879 2549843 4037037 4664637 7649529 12111111 16067083 22948587 43018319 48201249 129054957 144603747 387164871 1333567889 4000703667 12002111001