Search a number
-
+
12002011119 = 327318637121
BaseRepresentation
bin10110010110110000…
…00010011111101111
31010222102220100002100
423023120002133233
5144040003323434
65302540430143
7603264261030
oct131330023757
933872810070
1012002011119
1150a990565a
1223ab548353
1311936ba037
1481bdc2a87
154a3a1b699
hex2cb6027ef

12002011119 has 48 divisors (see below), whose sum is σ = 20478541824. Its totient is φ = 6628435200.

The previous prime is 12002011097. The next prime is 12002011157. The reversal of 12002011119 is 91111020021.

It is a happy number.

It is not a de Polignac number, because 12002011119 - 217 = 12001880047 is a prime.

It is a super-2 number, since 2×120020111192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002011199) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1681879 + ... + 1688999.

It is an arithmetic number, because the mean of its divisors is an integer number (426636288).

Almost surely, 212002011119 is an apocalyptic number.

12002011119 is a deficient number, since it is larger than the sum of its proper divisors (8476530705).

12002011119 is a wasteful number, since it uses less digits than its factorization.

12002011119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8025 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 12002011119 in words is "twelve billion, two million, eleven thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 863 1953 2589 6041 7121 7767 18123 21363 26753 49847 54369 64089 80259 149541 187271 220751 240777 448623 561813 662253 1545257 1685439 1986759 4635771 6145423 13907313 18436269 43017961 55308807 129053883 190508113 387161649 571524339 1333556791 1714573017 4000670373 12002011119