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12021309414976 = 26432100792
BaseRepresentation
bin1010111011101110110111…
…1000001001111001000000
31120120020002201111112201011
42232323231320021321000
53033424120202234401
641322302512450304
72350340153031541
oct256735570117100
946506081445634
1012021309414976
113915232851764
121421988249994
136927b244a984
142d7b97b564c8
1515ca7dadb451
hexaeeede09e40

12021309414976 has 63 divisors (see below), whose sum is σ = 24424873127931. Its totient is φ = 5870289554304.

The previous prime is 12021309414973. The next prime is 12021309414977. The reversal of 12021309414976 is 67941490312021.

The square root of 12021309414976 is 3467176.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12021309414973) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1192703505 + ... + 1192713583.

Almost surely, 212021309414976 is an apocalyptic number.

12021309414976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12021309414976 is the 3467176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021309414976

12021309414976 is an abundant number, since it is smaller than the sum of its proper divisors (12403563712955).

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

12021309414976 is an frugal number, since it uses more digits than its factorization.

12021309414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20256 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 12021309414976 by its sum of digits (49), we get a square (589044161333824 = 242702322).

Adding to 12021309414976 its reverse (67941490312021), we get a palindrome (79962799726997).

The spelling of 12021309414976 in words is "twelve trillion, twenty-one billion, three hundred nine million, four hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1849 2752 3698 7396 10079 14792 20158 29584 40316 59168 80632 118336 161264 322528 433397 645056 866794 1733588 3467176 6934352 13868704 18636071 27737408 37272142 74544284 101586241 149088568 203172482 298177136 406344964 596354272 812689928 1192708544 1625379856 3250759712 4368208363 6501519424 8736416726 17472833452 34945666904 69891333808 139782667616 187832959609 279565335232 375665919218 751331838436 1502663676872 3005327353744 6010654707488 12021309414976