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12212001032 = 23711432631753
BaseRepresentation
bin10110101111110010…
…00101100100001000
31011112002000221002112
423113321011210020
5200002233013112
65335441321452
7611424203360
oct132771054410
934462027075
1012212001032
1151a73a1140
122449936288
1311c806141a
1483bc459a0
154b719aa22
hex2d7e45908

12212001032 has 128 divisors (see below), whose sum is σ = 29339228160. Its totient is φ = 4626961920.

The previous prime is 12212001031. The next prime is 12212001047. The reversal of 12212001032 is 23010021221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12212000998 and 12212001016.

It is not an unprimeable number, because it can be changed into a prime (12212001031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6965468 + ... + 6967220.

It is an arithmetic number, because the mean of its divisors is an integer number (229212720).

Almost surely, 212212001032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669614080).

12212001032 is an abundant number, since it is smaller than the sum of its proper divisors (17127227128).

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

12212001032 is a wasteful number, since it uses less digits than its factorization.

12212001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12212001032 its reverse (23010021221), we get a palindrome (35222022253).

The spelling of 12212001032 in words is "twelve billion, two hundred twelve million, one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 263 301 308 344 473 526 602 616 946 1052 1204 1753 1841 1892 2104 2408 2893 3311 3506 3682 3784 5786 6622 7012 7364 11309 11572 12271 13244 14024 14728 19283 20251 22618 23144 24542 26488 38566 40502 45236 49084 75379 77132 79163 81004 90472 98168 124399 134981 150758 154264 158326 162008 248798 269962 301516 316652 461039 497596 527653 539924 603032 633304 829169 870793 922078 995192 1055306 1079848 1658338 1741586 1844156 2110612 3227273 3316676 3483172 3688312 4221224 5071429 5804183 6454546 6633352 6966344 10142858 11608366 12909092 19824677 20285716 23216732 25818184 35500003 39649354 40571432 46433464 71000006 79298708 138772739 142000012 158597416 218071447 277545478 284000024 436142894 555090956 872285788 1110181912 1526500129 1744571576 3053000258 6106000516 12212001032