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12078015107172 = 22372113181777363
BaseRepresentation
bin1010111111000010000111…
…0011001101000001100100
31120202122110122021011201020
42233300201303031001210
53040341233331412142
641404321420331140
72354415321332400
oct257604163150144
946678418234636
1012078015107172
113937291722593
1214309729a3ab0
13697c4b5396b1
142da816cb2100
1515e29c012cec
hexafc21ccd064

12078015107172 has 72 divisors (see below), whose sum is σ = 33073300715616. Its totient is φ = 3420322843392.

The previous prime is 12078015107167. The next prime is 12078015107203. The reversal of 12078015107172 is 27170151087021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90822238 + ... + 90955125.

It is an arithmetic number, because the mean of its divisors is an integer number (459351398828).

Almost surely, 212078015107172 is an apocalyptic number.

12078015107172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12078015107172 is an abundant number, since it is smaller than the sum of its proper divisors (20995285608444).

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

12078015107172 is a wasteful number, since it uses less digits than its factorization.

12078015107172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181777497 (or 181777488 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 42.

The spelling of 12078015107172 in words is "twelve trillion, seventy-eight billion, fifteen million, one hundred seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 678 791 1356 1582 2373 3164 4746 5537 9492 11074 16611 22148 33222 66444 181777363 363554726 545332089 727109452 1090664178 1272441541 2181328356 2544883082 3817324623 5089766164 7634649246 8907090787 15269298492 17814181574 20540842019 26721272361 35628363148 41081684038 53442544722 61622526057 82163368076 106885089444 123245052114 143785894133 246490104228 287571788266 431357682399 575143576532 862715364798 1006501258931 1725430729596 2013002517862 3019503776793 4026005035724 6039007553586 12078015107172