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120004143012 = 2232131715083477
BaseRepresentation
bin110111111000011001…
…1011110011110100100
3102110202021222002122100
41233300303132132210
53431232030034022
6131043521132100
711445546246105
oct1576063363644
9373667862570
10120004143012
11469912348a6
121b31118a030
13b416008060
145b45b043ac
1531c55231ac
hex1bf0cde7a4

120004143012 has 72 divisors (see below), whose sum is σ = 345894317496. Its totient is φ = 34752328704.

The previous prime is 120004142969. The next prime is 120004143107. The reversal of 120004143012 is 210341400021.

It can be written as a sum of positive squares in 4 ways, for example, as 49828954176 + 70175188836 = 223224^2 + 264906^2 .

It is a super-3 number, since 3×1200041430123 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7533783 + ... + 7549694.

It is an arithmetic number, because the mean of its divisors is an integer number (4804087743).

Almost surely, 2120004143012 is an apocalyptic number.

120004143012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120004143012 is an abundant number, since it is smaller than the sum of its proper divisors (225890174484).

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

120004143012 is a wasteful number, since it uses less digits than its factorization.

120004143012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15083517 (or 15083512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120004143012 its reverse (210341400021), we get a palindrome (330345543033).

The spelling of 120004143012 in words is "one hundred twenty billion, four million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 15083477 30166954 45250431 60333908 90500862 135751293 181001724 196085201 256419109 271502586 392170402 512838218 543005172 588255603 769257327 784340804 1025676436 1176511206 1538514654 1764766809 2307771981 2353022412 3077029308 3333448417 3529533618 4615543962 6666896834 7059067236 9231087924 10000345251 13333793668 20000690502 30001035753 40001381004 60002071506 120004143012