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12203222121222 = 23112173372933993
BaseRepresentation
bin1011000110010100100010…
…1110000011101100000110
31121012121122112100111122220
42301211020232003230012
53044414144330334342
641542025521233210
72366440135361646
oct261451056035406
947177575314586
1012203222121222
1139853a2828400
121451096492806
136a69b3424362
143028d39a6526
151626791b25ec
hexb1948b83b06

12203222121222 has 96 divisors (see below), whose sum is σ = 28489269515616. Its totient is φ = 3470091018240.

The previous prime is 12203222121217. The next prime is 12203222121313. The reversal of 12203222121222 is 22212122230221.

It is a junction number, because it is equal to n+sod(n) for n = 12203222121192 and 12203222121201.

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 47 ways as a sum of consecutive naturals, for example, 2692258 + ... + 5626250.

It is an arithmetic number, because the mean of its divisors is an integer number (296763224121).

Almost surely, 212203222121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203222121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244634757808).

12203222121222 is an abundant number, since it is smaller than the sum of its proper divisors (16286047394394).

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

12203222121222 is a wasteful number, since it uses less digits than its factorization.

12203222121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934374 (or 2934363 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12203222121222 its reverse (22212122230221), we get a palindrome (34415344351443).

The spelling of 12203222121222 in words is "twelve trillion, two hundred three billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 337 363 374 561 674 726 1011 1122 2022 2057 3707 4114 5729 6171 7414 11121 11458 12342 17187 22242 34374 40777 63019 81554 122331 126038 189057 244662 378114 693209 1386418 2079627 2933993 4159254 5867986 8801979 17603958 32273923 49877881 64547846 96821769 99755762 149633643 193643538 299267286 355013153 548656691 710026306 988755641 1065039459 1097313382 1645970073 1977511282 2130078918 2966266923 3291940146 5932533846 6035223601 10876312051 12070447202 16808845897 18105670803 21752624102 32628936153 33617691794 36211341606 50426537691 65257872306 100853075382 119639432561 184897304867 239278865122 358918297683 369794609734 554691914601 717836595366 1109383829202 2033870353537 4067740707074 6101611060611 12203222121222