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22012120001112 = 23329307791913009
BaseRepresentation
bin1010000000101000110001…
…00101111110101001011000
32212221100010111020012112220
411000110120211332221120
510341121310210013422
6114452121152504040
74431215565601113
oct500243045765130
985840114205486
1022012120001112
11701731898206a
12257611a54b020
13c389708071a7
1456156c64557a
152828bbdd9e5c
hex14051897ea58

22012120001112 has 128 divisors (see below), whose sum is σ = 57124932480000. Its totient is φ = 7059849947136.

The previous prime is 22012120001057. The next prime is 22012120001129. The reversal of 22012120001112 is 21110002121022.

It is a junction number, because it is equal to n+sod(n) for n = 22012120001091 and 22012120001100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1692062064 + ... + 1692075072.

It is an arithmetic number, because the mean of its divisors is an integer number (446288535000).

Almost surely, 222012120001112 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 22012120001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28562466240000).

22012120001112 is an abundant number, since it is smaller than the sum of its proper divisors (35112812478888).

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

22012120001112 is a wasteful number, since it uses less digits than its factorization.

22012120001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21273 (or 21269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22012120001112 its reverse (21110002121022), we get a palindrome (43122122122134).

The spelling of 22012120001112 in words is "twenty-two trillion, twelve billion, one hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 307 348 614 696 921 1228 1842 2456 3684 7368 7919 8903 13009 15838 17806 23757 26018 26709 31676 35612 39027 47514 52036 53418 63352 71224 78054 95028 104072 106836 156108 190056 213672 229651 312216 377261 459302 688953 754522 918604 1131783 1377906 1509044 1837208 2263566 2431133 2755812 3018088 3993763 4527132 4862266 5511624 7293399 7987526 9054264 9724532 11981289 14586798 15975052 19449064 23962578 29173596 31950104 47925156 58347192 70502857 95850312 103018271 115819127 141005714 206036542 211508571 231638254 282011428 309054813 347457381 412073084 423017142 463276508 564022856 618109626 694914762 824146168 846034284 926553016 1236219252 1389829524 1692068568 2472438504 2779659048 2987529859 5975059718 8962589577 11950119436 17925179154 23900238872 31626609197 35850358308 63253218394 71700716616 94879827591 126506436788 189759655182 253012873576 379519310364 759038620728 917171666713 1834343333426 2751515000139 3668686666852 5503030000278 7337373333704 11006060000556 22012120001112