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12223200313332 = 2234237123102221
BaseRepresentation
bin1011000111011110111110…
…0000110011111111110100
31121021112012211211211010000
42301313233200303333310
53100231103240011312
641555132151231300
72401045204250001
oct261675740637764
947245184754100
1012223200313332
113992914a11878
121454b31078530
136a88484349c8
1430386b0128a8
15162e48071adc
hexb1def833ff4

12223200313332 has 120 divisors (see below), whose sum is σ = 33812781754752. Its totient is φ = 3842361230400.

The previous prime is 12223200313279. The next prime is 12223200313487. The reversal of 12223200313332 is 23331300232221.

12223200313332 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 320 + 0 + 3 + 1 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12223200313296 and 12223200313305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11022019 + ... + 12080202.

Almost surely, 212223200313332 is an apocalyptic number.

12223200313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12223200313332 is an abundant number, since it is smaller than the sum of its proper divisors (21589581441420).

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

12223200313332 is a wasteful number, since it uses less digits than its factorization.

12223200313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23102331 (or 23102320 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12223200313332 its reverse (23331300232221), we get a palindrome (35554500545553).

The spelling of 12223200313332 in words is "twelve trillion, two hundred twenty-three billion, two hundred million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 71 81 92 108 138 142 162 207 213 276 284 324 414 426 621 639 828 852 1242 1278 1633 1863 1917 2484 2556 3266 3726 3834 4899 5751 6532 7452 7668 9798 11502 14697 19596 23004 29394 44091 58788 88182 132273 176364 264546 529092 23102221 46204442 69306663 92408884 138613326 207919989 277226652 415839978 531351083 623759967 831679956 1062702166 1247519934 1594053249 1640257691 1871279901 2125404332 2495039868 3188106498 3280515382 3742559802 4782159747 4920773073 6376212996 6561030764 7485119604 9564319494 9841546146 14346479241 14762319219 19128638988 19683092292 28692958482 29524638438 37725926893 43039437723 44286957657 57385916964 59049276876 75451853786 86078875446 88573915314 113177780679 132860872971 150903707572 172157750892 177147830628 226355561358 265721745942 339533342037 452711122716 531443491884 679066684074 1018600026111 1358133368148 2037200052222 3055800078333 4074400104444 6111600156666 12223200313332