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12012001012191 = 3192101139790043
BaseRepresentation
bin1010111011001100001100…
…0011011010100111011111
31120112100002000002200121110
42232303003003122213133
53033301034224342231
641314123113233103
72346560403643155
oct256630303324737
946470060080543
1012012001012191
1139112964679a4
12142000aa02793
1369195ab1a02b
142d75537c13d5
1515c6d67e1046
hexaecc30da9df

12012001012191 has 48 divisors (see below), whose sum is σ = 17193506359680. Its totient is φ = 7457364446400.

The previous prime is 12012001012181. The next prime is 12012001012201. The reversal of 12012001012191 is 19121010021021.

It is an interprime number because it is at equal distance from previous prime (12012001012181) and next prime (12012001012201).

It is not a de Polignac number, because 12012001012191 - 29 = 12012001011679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012001012181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14809216 + ... + 15599258.

It is an arithmetic number, because the mean of its divisors is an integer number (358198049160).

Almost surely, 212012001012191 is an apocalyptic number.

12012001012191 is a deficient number, since it is larger than the sum of its proper divisors (5181505347489).

12012001012191 is a wasteful number, since it uses less digits than its factorization.

12012001012191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790324 (or 790305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 12012001012191 in words is "twelve trillion, twelve billion, one million, twelve thousand, one hundred ninety-one".

Divisors: 1 3 19 57 101 139 303 361 417 1083 1919 2641 5757 7923 14039 36461 42117 50179 109383 150537 266741 790043 800223 2370129 5068079 15010817 15204237 45032451 79794343 109815977 239383029 285205523 329447931 855616569 1516092517 2086503563 4548277551 6259510689 11091413677 28805757823 33274241031 39643567697 86417273469 118930703091 210736859863 632210579589 4004000337397 12012001012191