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12003213000 = 233534001071
BaseRepresentation
bin10110010110111001…
…00111111011001000
31010222112011101202110
423023130213323020
5144040310304000
65303022302320
7603310425042
oct131334477310
933875141673
1012003213000
1150aa556649
1223aba279a0
131193a1b0cc
1481c216a92
154a3ba7850
hex2cb727ec8

12003213000 has 64 divisors (see below), whose sum is σ = 37450033920. Its totient is φ = 3200856000.

The previous prime is 12003212971. The next prime is 12003213043. The reversal of 12003213000 is 31230021.

It is a happy number.

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

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, 1997536 + ... + 2003535.

It is an arithmetic number, because the mean of its divisors is an integer number (585156780).

Almost surely, 212003213000 is an apocalyptic number.

12003213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003213000 is an abundant number, since it is smaller than the sum of its proper divisors (25446820920).

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

12003213000 is a wasteful number, since it uses less digits than its factorization.

12003213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001095 (or 4001081 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12003213000 its reverse (31230021), we get a palindrome (12034443021).

The spelling of 12003213000 in words is "twelve billion, three million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4001071 8002142 12003213 16004284 20005355 24006426 32008568 40010710 48012852 60016065 80021420 96025704 100026775 120032130 160042840 200053550 240064260 300080325 400107100 480128520 500133875 600160650 800214200 1000267750 1200321300 1500401625 2000535500 2400642600 3000803250 4001071000 6001606500 12003213000