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12771214435122 = 23111337402293657
BaseRepresentation
bin1011100111011000011110…
…1100110010001100110010
31200012220201220002122012120
42321312013230302030302
53133220421343410442
643055003115535110
72455455412364613
oct271660754621462
950186656078176
1012771214435122
114084272670660
121523191a5a496
13718421a80b20
143221b6d05c0a
1517231e0264ec
hexb9d87b32332

12771214435122 has 64 divisors (see below), whose sum is σ = 30818912552064. Its totient is φ = 3475817187840.

The previous prime is 12771214435073. The next prime is 12771214435153. The reversal of 12771214435122 is 22153441217721.

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 31 ways as a sum of consecutive naturals, for example, 201115083 + ... + 201178574.

It is an arithmetic number, because the mean of its divisors is an integer number (481545508626).

Almost surely, 212771214435122 is an apocalyptic number.

12771214435122 is an abundant number, since it is smaller than the sum of its proper divisors (18047698116942).

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

12771214435122 is a wasteful number, since it uses less digits than its factorization.

12771214435122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402293723.

The product of its digits is 188160, while the sum is 42.

The spelling of 12771214435122 in words is "twelve trillion, seven hundred seventy-one billion, two hundred fourteen million, four hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 143 222 286 407 429 481 814 858 962 1221 1443 2442 2886 5291 10582 15873 31746 402293657 804587314 1206880971 2413761942 4425230227 5229817541 8850460454 10459635082 13275690681 14884865309 15689452623 26551381362 29769730618 31378905246 44654595927 57527992951 89309191854 115055985902 163733518399 172583978853 193503249017 327467036798 345167957706 387006498034 491200555197 580509747051 982401110394 1161019494102 2128535739187 4257071478374 6385607217561 12771214435122