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12301211142 = 2321133713877
BaseRepresentation
bin10110111010011010…
…11001011000000110
31011202021220021100200
423131031121120012
5200143102224032
65352345351330
7613556366223
oct133515313006
934667807320
1012301211142
115242793000
122473798546
13121069797c
14849a2894a
154bee1d47c
hex2dd359606

12301211142 has 96 divisors (see below), whose sum is σ = 30110374944. Its totient is φ = 3626631360.

The previous prime is 12301211123. The next prime is 12301211161. The reversal of 12301211142 is 24111210321.

12301211142 is a `hidden beast` number, since 12 + 301 + 211 + 142 = 666.

12301211142 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 (12301211123) and next prime (12301211161).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 879508 + ... + 893384.

It is an arithmetic number, because the mean of its divisors is an integer number (313649739).

Almost surely, 212301211142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301211142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055187472).

12301211142 is an abundant number, since it is smaller than the sum of its proper divisors (17809163802).

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

12301211142 is a wasteful number, since it uses less digits than its factorization.

12301211142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12301211142 its reverse (24111210321), we get a palindrome (36412421463).

The spelling of 12301211142 in words is "twelve billion, three hundred one million, two hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 1331 2178 2442 2662 3663 3993 4477 7326 7986 8954 11979 13431 13877 23958 26862 27754 40293 41631 49247 80586 83262 98494 124893 147741 152647 249786 295482 305294 443223 457941 513449 886446 915882 1026898 1373823 1540347 1679117 2747646 3080694 3358234 4621041 5037351 5647939 9242082 10074702 11295878 15112053 16943817 18470287 30224106 33887634 36940574 50831451 55410861 62127329 101662902 110821722 124254658 166232583 186381987 332465166 372763974 559145961 683400619 1118291922 1366801238 2050201857 4100403714 6150605571 12301211142