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12000003432 = 23319127353587
BaseRepresentation
bin10110010110100000…
…11000010101101000
31010222022010100001120
423023100120111220
5144034000102212
65302425415240
7603241226514
oct131320302550
933868110046
1012000003432
1150a876420a
1223aa93a520
131193166261
1481ba1d144
154a377188c
hex2cb418568

12000003432 has 128 divisors (see below), whose sum is σ = 31972147200. Its totient is φ = 3742599168.

The previous prime is 12000003359. The next prime is 12000003461. The reversal of 12000003432 is 23430000021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20442643 + ... + 20443229.

It is an arithmetic number, because the mean of its divisors is an integer number (249782400).

Almost surely, 212000003432 is an apocalyptic number.

12000003432 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 12000003432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986073600).

12000003432 is an abundant number, since it is smaller than the sum of its proper divisors (19972143768).

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

12000003432 is a wasteful number, since it uses less digits than its factorization.

12000003432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12000003432 its reverse (23430000021), we get a palindrome (35430003453).

The spelling of 12000003432 in words is "twelve billion, three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 353 381 456 508 587 706 762 1016 1059 1174 1412 1524 1761 2118 2348 2413 2824 3048 3522 4236 4696 4826 6707 7044 7239 8472 9652 11153 13414 14088 14478 19304 20121 22306 26828 28956 33459 40242 44612 44831 53656 57912 66918 74549 80484 89224 89662 133836 134493 149098 160968 179324 207211 223647 267672 268986 298196 358648 414422 447294 537972 596392 621633 828844 851789 894588 1075944 1243266 1416431 1657688 1703578 1789176 2486532 2555367 2832862 3407156 3937009 4249293 4973064 5110734 5665724 6814312 7874018 8498586 10221468 11331448 11811027 15748036 16997172 20442936 23622054 26315797 31496072 33994344 47244108 52631594 78947391 94488216 105263188 157894782 210526376 315789564 500000143 631579128 1000000286 1500000429 2000000572 3000000858 4000001144 6000001716 12000003432