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12132344224 = 2571113378757
BaseRepresentation
bin10110100110010010…
…01110000110100000
31011022112010221111101
423103021032012200
5144321340003344
65323514124144
7606436136650
oct132311160640
934275127441
1012132344224
115166434870
122427120654
1311b46c1310
1483142c360
154b01b39d4
hex2d324e1a0

12132344224 has 96 divisors (see below), whose sum is σ = 32070197376. Its totient is φ = 4363269120.

The previous prime is 12132344173. The next prime is 12132344239. The reversal of 12132344224 is 42244323121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12132344192 and 12132344201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157347 + ... + 221410.

It is an arithmetic number, because the mean of its divisors is an integer number (334064556).

Almost surely, 212132344224 is an apocalyptic number.

12132344224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12132344224 is an abundant number, since it is smaller than the sum of its proper divisors (19937853152).

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

12132344224 is a wasteful number, since it uses less digits than its factorization.

12132344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378798 (or 378790 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 12132344224 its reverse (42244323121), we get a palindrome (54376667345).

The spelling of 12132344224 in words is "twelve billion, one hundred thirty-two million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 378757 757514 1515028 2651299 3030056 4166327 4923841 5302598 6060112 8332654 9847682 10605196 12120224 16665308 19695364 21210392 29164289 33330616 34466887 39390728 42420784 54162251 58328578 66661232 68933774 78781456 84841568 108324502 116657156 133322464 137867548 157562912 216649004 233314312 275735096 379135757 433298008 466628624 551470192 758271514 866596016 933257248 1102940384 1516543028 1733192032 3033086056 6066172112 12132344224