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12001142244 = 22371324717987
BaseRepresentation
bin10110010110101001…
…01110010111100100
31010222101021012012210
423023110232113210
5144034243022434
65302510043420
7603254011620
oct131324562744
933871235183
1012001142244
1150a9371883
1223ab1a9570
131193474700
1481bc38180
154a38e8ee9
hex2cb52e5e4

12001142244 has 144 divisors (see below), whose sum is σ = 35393476608. Its totient is φ = 3097620864.

The previous prime is 12001142221. The next prime is 12001142317. The reversal of 12001142244 is 44224110021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12001142244.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658219 + ... + 676205.

It is an arithmetic number, because the mean of its divisors is an integer number (245788032).

Almost surely, 212001142244 is an apocalyptic number.

12001142244 is a gapful number since it is divisible by the number (14) 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 12001142244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696738304).

12001142244 is an abundant number, since it is smaller than the sum of its proper divisors (23392334364).

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

12001142244 is a wasteful number, since it uses less digits than its factorization.

12001142244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18074 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12001142244 its reverse (44224110021), we get a palindrome (56225252265).

The spelling of 12001142244 in words is "twelve billion, one million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 169 182 188 273 282 329 338 364 507 546 564 611 658 676 987 1014 1092 1183 1222 1316 1833 1974 2028 2366 2444 3549 3666 3948 4277 4732 7098 7332 7943 8554 12831 14196 15886 17108 17987 23829 25662 31772 35974 47658 51324 53961 55601 71948 95316 107922 111202 125909 166803 215844 222404 233831 251818 333606 377727 467662 503636 667212 701493 755454 845389 935324 1402986 1510908 1636817 1690778 2536167 2805972 3039803 3273634 3381556 4910451 5072334 5917723 6079606 6547268 9119409 9820902 10144668 10990057 11835446 12159212 17753169 18238818 19641804 21278621 21980114 23670892 32970171 35506338 36477636 42557242 43960228 63835863 65940342 71012676 76930399 85114484 127671726 131880684 142870741 153860798 230791197 255343452 285741482 307721596 428612223 461582394 571482964 857224446 923164788 1000095187 1714448892 2000190374 3000285561 4000380748 6000571122 12001142244