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12220701796608 = 283199423118899
BaseRepresentation
bin1011000111010101101010…
…0101101110100100000000
31121021021202201110000111120
42301311122211232210000
53100210444124442413
641554040215312240
72400626245226454
oct261653245564400
947237681400446
1012220701796608
113991852631218
12145455437b680
136a853a904746
143036b126a664
15162d4da3a723
hexb1d5a96e900

12220701796608 has 144 divisors (see below), whose sum is σ = 32697786240000. Its totient is φ = 4051924715520.

The previous prime is 12220701796573. The next prime is 12220701796643. The reversal of 12220701796608 is 80669710702221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12220701796573) and next prime (12220701796643).

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, 646622743 + ... + 646641641.

It is an arithmetic number, because the mean of its divisors is an integer number (227067960000).

Almost surely, 212220701796608 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 12220701796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348893120000).

12220701796608 is an abundant number, since it is smaller than the sum of its proper divisors (20477084443392).

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

12220701796608 is a wasteful number, since it uses less digits than its factorization.

12220701796608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23348 (or 23334 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 12220701796608 in words is "twelve trillion, two hundred twenty billion, seven hundred one million, seven hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 597 768 796 1194 1592 2388 3184 4231 4776 6368 8462 9552 12693 12736 16924 18899 19104 25386 25472 33848 37798 38208 50772 50944 56697 67696 75596 76416 101544 113394 135392 151192 152832 203088 226788 270784 302384 406176 453576 541568 604768 812352 841969 907152 1083136 1209536 1624704 1683938 1814304 2419072 2525907 3249408 3367876 3628608 3760901 4838144 5051814 6735752 7257216 7521802 10103628 11282703 13471504 14514432 15043604 20207256 22565406 26943008 30087208 40414512 45130812 53886016 60174416 79961669 80829024 90261624 107772032 120348832 159923338 161658048 180523248 215544064 239885007 240697664 319846676 323316096 361046496 479770014 481395328 639693352 646632192 722092992 959540028 962790656 1279386704 1444185984 1919080056 2558773408 2888371968 3838160112 5117546816 7676320224 10235093632 15352640448 15912372131 20470187264 30705280896 31824744262 47737116393 61410561792 63649488524 95474232786 127298977048 190948465572 254597954096 381896931144 509195908192 763793862288 1018391816384 1527587724576 2036783632768 3055175449152 4073567265536 6110350898304 12220701796608