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12016531332 = 22331323372121
BaseRepresentation
bin10110011000011110…
…11011011110000100
31011000110020001002000
423030033123132010
5144102213000312
65304215545300
7603531555021
oct131417333604
934013201060
1012016531332
115107022933
1223b438b230
131196702190
1481dcc2548
154a4e38adc
hex2cc3db784

12016531332 has 96 divisors (see below), whose sum is σ = 35009237760. Its totient is φ = 3536628480.

The previous prime is 12016531327. The next prime is 12016531343. The reversal of 12016531332 is 23313561021.

12016531332 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 653 + 1 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12016531296 and 12016531305.

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, 153769 + ... + 218352.

It is an arithmetic number, because the mean of its divisors is an integer number (364679560).

Almost surely, 212016531332 is an apocalyptic number.

12016531332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12016531332 is an abundant number, since it is smaller than the sum of its proper divisors (22992706428).

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

12016531332 is a wasteful number, since it uses less digits than its factorization.

12016531332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372170 (or 372162 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 12016531332 in words is "twelve billion, sixteen million, five hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 5382 8073 10764 16146 32292 372121 744242 1116363 1488484 2232726 3349089 4465452 4837573 6698178 8558783 9675146 10047267 13396356 14512719 17117566 19350292 20094534 25676349 29025438 34235132 40189068 43538157 51352698 58050876 77029047 87076314 102705396 111264179 130614471 154058094 174152628 222528358 231087141 261228942 308116188 333792537 445056716 462174282 522457884 667585074 924348564 1001377611 1335170148 2002755222 3004132833 4005510444 6008265666 12016531332