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12340002000 = 243532056667
BaseRepresentation
bin10110111111000010…
…10111110011010000
31011211222220001102010
423133201113303100
5200233020031000
65400253022520
7614540200134
oct133741276320
934758801363
1012340002000
115262678167
122484784a40
13121872a041
14850c453c4
154c3531d50
hex2df857cd0

12340002000 has 80 divisors (see below), whose sum is σ = 39784185792. Its totient is φ = 3290665600.

The previous prime is 12340001987. The next prime is 12340002049. The reversal of 12340002000 is 20004321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022334 + ... + 1034333.

Almost surely, 212340002000 is an apocalyptic number.

12340002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340002000 is an abundant number, since it is smaller than the sum of its proper divisors (27444183792).

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

12340002000 is a wasteful number, since it uses less digits than its factorization.

12340002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056693 (or 2056677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12340002000 its reverse (20004321), we get a palindrome (12360006321).

The spelling of 12340002000 in words is "twelve billion, three hundred forty million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 2056667 4113334 6170001 8226668 10283335 12340002 16453336 20566670 24680004 30850005 32906672 41133340 49360008 51416675 61700010 82266680 98720016 102833350 123400020 154250025 164533360 205666700 246800040 257083375 308500050 411333400 493600080 514166750 617000100 771250125 822666800 1028333500 1234000200 1542500250 2056667000 2468000400 3085000500 4113334000 6170001000 12340002000