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12023875206512 = 24133714831053509
BaseRepresentation
bin1010111011111000011011…
…0011110111110101110000
31120120110201112111021000022
42232332012303313311300
53033444344023102022
641323405250343012
72350460556635411
oct256760663676560
946513645437008
1012023875206512
11391632a101934
12142238358aa68
13692b00ba4210
142d7d5c811808
1515cb7deb0c42
hexaef86cf7d70

12023875206512 has 80 divisors (see below), whose sum is σ = 25783738589280. Its totient is φ = 5395848846336.

The previous prime is 12023875206509. The next prime is 12023875206587. The reversal of 12023875206512 is 21560257832021.

It is a happy number.

It is a super-2 number, since 2×120238752065122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10886414 + ... + 11939922.

It is an arithmetic number, because the mean of its divisors is an integer number (322296732366).

Almost surely, 212023875206512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023875206512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891869294640).

12023875206512 is an abundant number, since it is smaller than the sum of its proper divisors (13759863382768).

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

12023875206512 is a wasteful number, since it uses less digits than its factorization.

12023875206512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055050 (or 1055044 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 12023875206512 in words is "twelve trillion, twenty-three billion, eight hundred seventy-five million, two hundred six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1483 1924 2966 3848 5932 7696 11864 19279 23728 38558 54871 77116 109742 154232 219484 308464 438968 713323 877936 1053509 1426646 2107018 2853292 4214036 5706584 8428072 11413168 13695617 16856144 27391234 38979833 54782468 77959666 109564936 155919332 219129872 311838664 506737829 623677328 1013475658 1562353847 2026951316 3124707694 4053902632 6249415388 8107805264 12498830776 20310600011 24997661552 40621200022 57807092339 81242400044 115614184678 162484800088 231228369356 324969600176 462456738712 751492200407 924913477424 1502984400814 3005968801628 6011937603256 12023875206512