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2123220223212 = 22311261314091693
BaseRepresentation
bin11110111001011001110…
…010011000010011101100
321111222101212102202020220
4132321121302120103230
5234241323334120322
64303221030011340
7306253243056234
oct36713162302354
97458355382226
102123220223212
117494a8511300
122a35b21a6b50
131252ac94b15a
1474a9b766cc4
153a36aa2855c
hex1ee59c984ec

2123220223212 has 144 divisors (see below), whose sum is σ = 5461482697440. Its totient is φ = 641515438080.

The previous prime is 2123220223193. The next prime is 2123220223259.

2123220223212 is nontrivially palindromic in base 10.

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, 1254116238 + ... + 1254117930.

Almost surely, 22123220223212 is an apocalyptic number.

2123220223212 is a gapful number since it is divisible by the number (22) 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 2123220223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730741348720).

2123220223212 is an abundant number, since it is smaller than the sum of its proper divisors (3338262474228).

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

2123220223212 is a wasteful number, since it uses less digits than its factorization.

2123220223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2123220 and 223212, that added together give a palindrome (2346432).

The spelling of 2123220223212 in words is "two trillion, one hundred twenty-three billion, two hundred twenty million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 613 726 1226 1409 1452 1693 1839 2452 2818 3386 3678 4227 5079 5636 6743 6772 7356 8454 10158 13486 15499 16908 18623 20229 20316 26972 30998 37246 40458 46497 55869 61996 74173 74492 80916 92994 111738 148346 170489 185988 204853 222519 223476 296692 340978 409706 445038 511467 614559 681956 819412 863717 890076 1022934 1037809 1229118 1727434 2045868 2075618 2385437 2458236 2591151 3113427 3454868 4151236 4770874 5182302 6226854 7156311 9500887 9541748 10364604 11415899 12453708 14312622 19001774 22831798 26239807 28502661 28625244 34247697 38003548 45663596 52479614 57005322 68495394 78719421 104509757 104959228 114010644 125574889 136990788 157438842 209019514 251149778 288637877 313529271 314877684 376724667 418039028 502299556 577275754 627058542 753449334 865913631 1154551508 1254117084 1462272881 1506898668 1731827262 2924545762 3463654524 4386818643 5849091524 8773637286 16085001691 17547274572 32170003382 48255005073 64340006764 96510010146 176935018601 193020020292 353870037202 530805055803 707740074404 1061610111606 2123220223212