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12004022320 = 2451728331189
BaseRepresentation
bin10110010110111111…
…01101100000110000
31010222120200111221021
423023133231200300
5144041012203240
65303051505224
7603320335423
oct131337554060
933876614837
1012004022320
1150aaa59704
1223b0158214
131193c425b4
1481c3879ba
154a3cb754a
hex2cb7ed830

12004022320 has 80 divisors (see below), whose sum is σ = 29656450080. Its totient is φ = 4503048192.

The previous prime is 12004022309. The next prime is 12004022323. The reversal of 12004022320 is 2322040021.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 12004022294 and 12004022303.

It is not an unprimeable number, because it can be changed into a prime (12004022323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369286 + ... + 400474.

It is an arithmetic number, because the mean of its divisors is an integer number (370705626).

Almost surely, 212004022320 is an apocalyptic number.

12004022320 is a gapful number since it is divisible by the number (10) 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 12004022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14828225040).

12004022320 is an abundant number, since it is smaller than the sum of its proper divisors (17652427760).

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

12004022320 is a wasteful number, since it uses less digits than its factorization.

12004022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31502 (or 31496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12004022320 its reverse (2322040021), we get a palindrome (14326062341).

The spelling of 12004022320 in words is "twelve billion, four million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 283 340 566 680 1132 1360 1415 2264 2830 4528 4811 5660 9622 11320 19244 22640 24055 31189 38488 48110 62378 76976 96220 124756 155945 192440 249512 311890 384880 499024 530213 623780 1060426 1247560 2120852 2495120 2651065 4241704 5302130 8483408 8826487 10604260 17652974 21208520 35305948 42417040 44132435 70611896 88264870 141223792 150050279 176529740 300100558 353059480 600201116 706118960 750251395 1200402232 1500502790 2400804464 3001005580 6002011160 12004022320