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12212010001009 = 7137310131358151
BaseRepresentation
bin1011000110110101010010…
…0001001010001001110001
31121020110022222022001110001
42301231110201022021301
53100040144030013014
641550041524110001
72400200664205510
oct261552441121161
947213288261401
1012212010001009
1139890a2308575
121452929535301
136a7783c65720
143030c8b62677
151629e093d974
hexb1b5484a271

12212010001009 has 64 divisors (see below), whose sum is σ = 15436335817728. Its totient is φ = 9405227520000.

The previous prime is 12212010001003. The next prime is 12212010001027. The reversal of 12212010001009 is 90010001021221.

It is a happy number.

It is not a de Polignac number, because 12212010001009 - 215 = 12212009968241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12212010001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209976084 + ... + 210034234.

It is an arithmetic number, because the mean of its divisors is an integer number (241192747152).

Almost surely, 212212010001009 is an apocalyptic number.

It is an amenable number.

12212010001009 is a deficient number, since it is larger than the sum of its proper divisors (3224325816719).

12212010001009 is a wasteful number, since it uses less digits than its factorization.

12212010001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58658.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 12212010001009 in words is "twelve trillion, two hundred twelve billion, ten million, one thousand, nine".

Divisors: 1 7 13 73 91 101 313 511 707 949 1313 2191 4069 6643 7373 9191 22849 28483 31613 51611 58151 95849 159943 221291 297037 407057 410969 670943 755963 2079259 2307749 2876783 4245023 5291741 5873251 16154243 18201263 29715161 30000737 41112757 55185299 76352263 127408841 210005159 236616419 386297093 428747323 534465841 1328692199 1656314933 1838327563 3001231261 5573715199 9300845393 12868292941 17272998587 23898258319 39016006393 120910990109 134197912099 167287808233 939385384693 1744572857287 12212010001009