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12114202413420 = 2233546748037919
BaseRepresentation
bin1011000001001000111010…
…1110110100100101101100
31120220002212121001210122000
42300102032232310211230
53041434341304212140
641433104320052300
72360136141345102
oct260221656644554
946802777053560
1012114202413420
11395067149a358
121437991a64090
1369b49772bb43
142dc48ad65c72
151601b8e22a30
hexb048ebb496c

12114202413420 has 96 divisors (see below), whose sum is σ = 37769334220800. Its totient is φ = 3223536449472.

The previous prime is 12114202413389. The next prime is 12114202413557. The reversal of 12114202413420 is 2431420241121.

12114202413420 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 202 + 413 + 42 + 0 = 666.

It is a super-3 number, since 3×121142024134203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23766780 + ... + 24271139.

It is an arithmetic number, because the mean of its divisors is an integer number (393430564800).

Almost surely, 212114202413420 is an apocalyptic number.

12114202413420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114202413420 is an abundant number, since it is smaller than the sum of its proper divisors (25655131807380).

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

12114202413420 is a wasteful number, since it uses less digits than its factorization.

12114202413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48038404 (or 48038396 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12114202413420 its reverse (2431420241121), we get a palindrome (14545622654541).

The spelling of 12114202413420 in words is "twelve trillion, one hundred fourteen billion, two hundred two million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 467 540 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 12609 14010 16812 21015 25218 28020 42030 50436 63045 84060 126090 252180 48037919 96075838 144113757 192151676 240189595 288227514 432341271 480379190 576455028 720568785 864682542 960758380 1297023813 1441137570 1729365084 2161706355 2594047626 2882275140 4323412710 5188095252 6485119065 8646825420 12970238130 22433708173 25940476260 44867416346 67301124519 89734832692 112168540865 134602249038 201903373557 224337081730 269204498076 336505622595 403806747114 448674163460 605710120671 673011245190 807613494228 1009516867785 1211420241342 1346022490380 2019033735570 2422840482684 3028550603355 4038067471140 6057101206710 12114202413420