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12120022302240 = 253553476415971
BaseRepresentation
bin1011000001011110100110…
…0111111011111000100000
31120220122220012012210012210
42300113221213323320200
53042033301202132430
641435510020322120
72360433310523016
oct260275147737040
946818805183183
1012120022302240
113953088691a26
121438b36b43340
1369bbb43b5238
142dc87dc8c8b6
15160409d2e2b0
hexb05e99fbe20

12120022302240 has 96 divisors (see below), whose sum is σ = 38898411281856. Its totient is φ = 3171024696320.

The previous prime is 12120022302233. The next prime is 12120022302251. The reversal of 12120022302240 is 4220322002121.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 238182546 + ... + 238233425.

It is an arithmetic number, because the mean of its divisors is an integer number (405191784186).

Almost surely, 212120022302240 is an apocalyptic number.

12120022302240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120022302240 is an abundant number, since it is smaller than the sum of its proper divisors (26778388979616).

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

12120022302240 is a wasteful number, since it uses less digits than its factorization.

12120022302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476416042 (or 476416034 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12120022302240 its reverse (4220322002121), we get a palindrome (16340344304361).

The spelling of 12120022302240 in words is "twelve trillion, one hundred twenty billion, twenty-two million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 476415971 952831942 1429247913 1905663884 2382079855 2858495826 3811327768 4764159710 5716991652 7146239565 7622655536 9528319420 11433983304 14292479130 15245311072 19056638840 22867966608 25250046463 28584958260 38113277680 45735933216 50500092926 57169916520 75750139389 76226555360 101000185852 114339833040 126250232315 151500278778 202000371704 228679666080 252500464630 303000557556 378750696945 404000743408 505000929260 606001115112 757501393890 808001486816 1010001858520 1212002230224 1515002787780 2020003717040 2424004460448 3030005575560 4040007434080 6060011151120 12120022302240