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12122311005 = 325767613937
BaseRepresentation
bin10110100101000101…
…11100100101011101
31011021211021012111200
423102202330211131
5144311302423010
65322515110113
7606254641410
oct132242744535
934254235450
1012122311005
115160801752
1224238a2339
1311b25ba5bc
1482dd79b77
154ae380cc0
hex2d28bc95d

12122311005 has 96 divisors (see below), whose sum is σ = 24437946624. Its totient is φ = 5444195328.

The previous prime is 12122311001. The next prime is 12122311007. The reversal of 12122311005 is 50011322121.

It is not a de Polignac number, because 12122311005 - 22 = 12122311001 is a prime.

It is a super-2 number, since 2×121223110052 (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 (12122311001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12936897 + ... + 12937833.

It is an arithmetic number, because the mean of its divisors is an integer number (254561944).

Almost surely, 212122311005 is an apocalyptic number.

12122311005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12122311005 is an abundant number, since it is smaller than the sum of its proper divisors (12315635619).

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

12122311005 is a wasteful number, since it uses less digits than its factorization.

12122311005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12122311005 its reverse (50011322121), we get a palindrome (62133633126).

The spelling of 12122311005 in words is "twelve billion, one hundred twenty-two million, three hundred eleven thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 613 937 1005 1407 1839 2345 2811 3015 3065 4221 4291 4685 5517 6559 7035 8433 9195 12873 14055 19677 21105 21455 27585 32795 38619 41071 42165 59031 62779 64365 98385 123213 188337 193095 205355 287497 295155 313895 369639 439453 565011 574381 616065 862491 941685 1318359 1437485 1723143 1848195 2197265 2587473 2825055 2871905 3955077 4020667 4312455 5169429 6591795 8615715 12062001 12937365 19775385 20103335 25847145 36186003 38483527 60310005 115450581 180930015 192417635 269384689 346351743 577252905 808154067 1346923445 1731758715 2424462201 4040770335 12122311005