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12023002211094 = 23271735331588729
BaseRepresentation
bin1010111011110101001011…
…0001101010001100010110
31120120101110200210111102200
42232331102301222030112
53033441102031223334
641323142503145330
72350430126411310
oct256752261521426
946511420714380
1012023002211094
113915a21344516
12142217b145246
136929c2074294
142d7cb88c47b0
1515cb2c51a799
hexaef52c6a316

12023002211094 has 96 divisors (see below), whose sum is σ = 31531435341120. Its totient is φ = 3232159082496.

The previous prime is 12023002211057. The next prime is 12023002211107. The reversal of 12023002211094 is 49011220032021.

12023002211094 is a `hidden beast` number, since 120 + 2 + 300 + 221 + 10 + 9 + 4 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6773322 + ... + 8362050.

It is an arithmetic number, because the mean of its divisors is an integer number (328452451470).

Almost surely, 212023002211094 is an apocalyptic number.

12023002211094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023002211094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765717670560).

12023002211094 is an abundant number, since it is smaller than the sum of its proper divisors (19508433130026).

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

12023002211094 is a wasteful number, since it uses less digits than its factorization.

12023002211094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592294 (or 1592291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12023002211094 in words is "twelve trillion, twenty-three billion, two million, two hundred eleven thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 3533 7066 10599 21198 24731 31797 49462 60061 63594 74193 120122 148386 180183 222579 360366 420427 445158 540549 840854 1081098 1261281 1588729 2522562 3177458 3783843 4766187 7567686 9532374 11121103 14298561 22242206 27008393 28597122 33363309 54016786 66726618 81025179 100089927 162050358 189058751 200179854 243075537 378117502 486151074 567176253 1134352506 1701528759 3403057518 5612979557 11225959114 16838938671 33677877342 39290856899 50516816013 78581713798 95420652469 101033632026 117872570697 190841304938 235745141394 286261957407 353617712091 572523914814 667944567283 707235424182 858785872221 1335889134566 1717571744442 2003833701849 4007667403698 6011501105547 12023002211094