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12030122233221 = 317972101401619
BaseRepresentation
bin1010111100001111101100…
…1010011000110110000101
31120121001211220101002121220
42233003323022120312011
53034100142242430341
641330321210030553
72351101433533311
oct257037312306605
946531756332556
1012030122233221
113918a45415524
121423627718459
136935881b1221
142d8392364b41
1515cde7641a66
hexaf0fb298d85

12030122233221 has 96 divisors (see below), whose sum is σ = 17401789249920. Its totient is φ = 7366164480000.

The previous prime is 12030122233219. The next prime is 12030122233229. The reversal of 12030122233221 is 12233222103021.

It is not a de Polignac number, because 12030122233221 - 21 = 12030122233219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12030122233191 and 12030122233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030122233229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19434769050 + ... + 19434769668.

It is an arithmetic number, because the mean of its divisors is an integer number (181268638020).

Almost surely, 212030122233221 is an apocalyptic number.

It is an amenable number.

12030122233221 is a deficient number, since it is larger than the sum of its proper divisors (5371667016699).

12030122233221 is a wasteful number, since it uses less digits than its factorization.

12030122233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12030122233221 its reverse (12233222103021), we get a palindrome (24263344336242).

The spelling of 12030122233221 in words is "twelve trillion, thirty billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 17 51 97 101 291 303 401 619 1203 1649 1717 1857 4947 5151 6817 9409 9797 10523 20451 28227 29391 31569 38897 40501 60043 62519 116691 121503 159953 166549 180129 187557 248219 479859 499647 661249 688517 744657 950309 1020731 1062823 1983747 2065551 2850927 3062193 3188469 3773009 3928597 4219723 5824171 6064343 11319027 11785791 12659169 16155253 17472513 18193029 24077243 25070119 48465759 64141153 66786149 72231729 75210357 99010907 103093831 192423459 200358447 297032721 309281493 381073909 409313131 426192023 588241271 1143221727 1227939393 1278576069 1764723813 2335492571 2431801543 6478256453 7006477713 7295404629 10000101607 19434769359 30000304821 39703373707 41340626231 119110121121 124021878693 235884749671 707654249013 4010040744407 12030122233221