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12061755878472 = 23321273074296709
BaseRepresentation
bin1010111110000101100010…
…1011001010110001001000
31120201002111111122202222200
42233201120223022301020
53040104434001102342
641353032200520200
72353301361222306
oct257413053126110
946632444582880
1012061755878472
1139303a88203a3
121429795780060
13696559b5c301
142d9b13741276
1515db498b394c
hexaf858acac48

12061755878472 has 96 divisors (see below), whose sum is σ = 33031731532800. Its totient is φ = 3975932967552.

The previous prime is 12061755878411. The next prime is 12061755878483. The reversal of 12061755878472 is 27487855716021.

12061755878472 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 7 + 5 + 587 + 8 + 47 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658854 + ... + 4955562.

It is an arithmetic number, because the mean of its divisors is an integer number (344080536800).

Almost surely, 212061755878472 is an apocalyptic number.

12061755878472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12061755878472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515865766400).

12061755878472 is an abundant number, since it is smaller than the sum of its proper divisors (20969975654328).

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

12061755878472 is a wasteful number, since it uses less digits than its factorization.

12061755878472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297155 (or 4297148 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 12061755878472 in words is "twelve trillion, sixty-one billion, seven hundred fifty-five million, eight hundred seventy-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 307 381 508 614 762 921 1016 1143 1228 1524 1842 2286 2456 2763 3048 3684 4572 5526 7368 9144 11052 22104 38989 77978 116967 155956 233934 311912 350901 467868 701802 935736 1403604 2807208 4296709 8593418 12890127 17186836 25780254 34373672 38670381 51560508 77340762 103121016 154681524 309363048 545682043 1091364086 1319089663 1637046129 2182728172 2638179326 3274092258 3957268989 4365456344 4911138387 5276358652 6548184516 7914537978 9822276774 10552717304 11871806967 13096369032 15829075956 19644553548 23743613934 31658151912 39289107096 47487227868 94974455736 167524387201 335048774402 502573161603 670097548804 1005146323206 1340195097608 1507719484809 2010292646412 3015438969618 4020585292824 6030877939236 12061755878472