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12342630312 = 2334131145399
BaseRepresentation
bin10110111111010110…
…11001011110101000
31011212011211120210000
423133223121132220
5200234203132222
65400425223000
7614601424635
oct133753313650
934764746700
1012342630312
115264102921
122485631a60
13121913a45c
1485132b18c
154c38a09ac
hex2dfad97a8

12342630312 has 80 divisors (see below), whose sum is σ = 34834932000. Its totient is φ = 4082775840.

The previous prime is 12342630281. The next prime is 12342630329. The reversal of 12342630312 is 21303624321.

12342630312 is a `hidden beast` number, since 1 + 2 + 342 + 6 + 3 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12189 + ... + 157587.

It is an arithmetic number, because the mean of its divisors is an integer number (435436650).

Almost surely, 212342630312 is an apocalyptic number.

12342630312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342630312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417466000).

12342630312 is an abundant number, since it is smaller than the sum of its proper divisors (22492301688).

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

12342630312 is a wasteful number, since it uses less digits than its factorization.

12342630312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145548 (or 145535 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 12342630312 in words is "twelve billion, three hundred forty-two million, six hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 524 648 786 1048 1179 1572 2358 3144 3537 4716 7074 9432 10611 14148 21222 28296 42444 84888 145399 290798 436197 581596 872394 1163192 1308591 1744788 2617182 3489576 3925773 5234364 7851546 10468728 11777319 15703092 19047269 23554638 31406184 38094538 47109276 57141807 76189076 94218552 114283614 152378152 171425421 228567228 342850842 457134456 514276263 685701684 1028552526 1371403368 1542828789 2057105052 3085657578 4114210104 6171315156 12342630312