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12142465566 = 23711271293331
BaseRepresentation
bin10110100111011111…
…10101001000011110
31011100020012011100220
423103233311020132
5144331432344231
65324515102210
7606621153150
oct132357651036
934306164326
1012142465566
115171118110
12242a5a1966
1311b682618a
14832904ad0
154b1012896
hex2d3bf521e

12142465566 has 128 divisors (see below), whose sum is σ = 30584881152. Its totient is φ = 3122064000.

The previous prime is 12142465553. The next prime is 12142465579. The reversal of 12142465566 is 66556424121.

It is an interprime number because it is at equal distance from previous prime (12142465553) and next prime (12142465579).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36684021 + ... + 36684351.

It is an arithmetic number, because the mean of its divisors is an integer number (238944384).

Almost surely, 212142465566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142465566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292440576).

12142465566 is an abundant number, since it is smaller than the sum of its proper divisors (18442415586).

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

12142465566 is a wasteful number, since it uses less digits than its factorization.

12142465566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918.

The product of its digits is 345600, while the sum is 42.

Adding to 12142465566 its reverse (66556424121), we get a palindrome (78698889687).

The spelling of 12142465566 in words is "twelve billion, one hundred forty-two million, four hundred sixty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 271 293 331 462 542 586 662 813 879 993 1626 1758 1897 1986 2051 2317 2981 3223 3641 3794 4102 4634 5691 5962 6153 6446 6951 7282 8943 9669 10923 11382 12306 13902 17886 19338 20867 21846 22561 25487 41734 45122 50974 62601 67683 76461 79403 89701 96983 125202 135366 152922 158806 179402 193966 238209 269103 290949 476418 538206 555821 581898 627907 678881 873433 986711 1066813 1111642 1255814 1357762 1667463 1746866 1883721 1973422 2036643 2133626 2620299 2960133 3200439 3334926 3767442 4073286 5240598 5920266 6114031 6400878 6906977 7467691 12228062 13813954 14935382 18342093 20720931 22403073 26282393 36684186 41441862 44806146 52564786 78847179 157694358 183976751 289106323 367953502 551930253 578212646 867318969 1103860506 1734637938 2023744261 4047488522 6071232783 12142465566