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12021401304330 = 23511611394296319
BaseRepresentation
bin1010111011101111001101…
…0110101011110100001010
31120120020100010102000012120
42232323303112223310022
53033424312213214310
641322315554152110
72350342350053535
oct256736326536412
946506303360176
1012021401304330
11391527a703580
1214219b2b82636
136927c84b1882
142d7ba6035a1c
1515ca86bdcb70
hexaeef35abd0a

12021401304330 has 128 divisors (see below), whose sum is σ = 32220337766400. Its totient is φ = 2845881043200.

The previous prime is 12021401304329. The next prime is 12021401304331. The reversal of 12021401304330 is 3340310412021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12021401304329) and next prime (12021401304331).

It is a self number, because there is not a number n which added to its sum of digits gives 12021401304330.

It is not an unprimeable number, because it can be changed into a prime (12021401304331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649911 + ... + 4946229.

It is an arithmetic number, because the mean of its divisors is an integer number (251721388800).

Almost surely, 212021401304330 is an apocalyptic number.

12021401304330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021401304330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110168883200).

12021401304330 is an abundant number, since it is smaller than the sum of its proper divisors (20198936462070).

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

12021401304330 is a wasteful number, since it uses less digits than its factorization.

12021401304330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296540.

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

Adding to 12021401304330 its reverse (3340310412021), we get a palindrome (15361711716351).

The spelling of 12021401304330 in words is "twelve trillion, twenty-one billion, four hundred one million, three hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 139 165 183 278 305 330 366 417 610 671 695 834 915 1342 1390 1529 1830 2013 2085 3058 3355 4026 4170 4587 6710 7645 8479 9174 10065 15290 16958 20130 22935 25437 42395 45870 50874 84790 93269 127185 186538 254370 279807 466345 559614 932690 1399035 2798070 4296319 8592638 12888957 21481595 25777914 42963190 47259509 64444785 94519018 128889570 141778527 236297545 262075459 283557054 472595090 524150918 597188341 708892635 786226377 1194376682 1310377295 1417785270 1572452754 1791565023 2620754590 2882830049 2985941705 3583130046 3931131885 5765660098 5971883410 6569071751 7862263770 8648490147 8957825115 13138143502 14414150245 17296980294 17915650230 19707215253 28828300490 32845358755 36428488801 39414430506 43242450735 65690717510 72856977602 86484901470 98536076265 109285466403 182142444005 197072152530 218570932806 364284888010 400713376811 546427332015 801426753622 1092854664030 1202140130433 2003566884055 2404280260866 4007133768110 6010700652165 12021401304330