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12014011525056 = 263597481141767
BaseRepresentation
bin1010111011010011101011…
…1000111010011111000000
31120112112021010020022202220
42232310322320322133000
53033314143422300211
641315054413411040
72346661256011542
oct256647270723700
946475233208686
1012014011525056
113912128334a82
121420490199a80
13691bbb505508
142d76a4815692
1515c7a307d806
hexaed3ae3a7c0

12014011525056 has 112 divisors (see below), whose sum is σ = 32330385204480. Its totient is φ = 3936240732160.

The previous prime is 12014011525051. The next prime is 12014011525073. The reversal of 12014011525056 is 65052511041021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014011525051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84673885 + ... + 84815651.

Almost surely, 212014011525056 is an apocalyptic number.

12014011525056 is a gapful number since it is divisible by the number (16) 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 12014011525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165192602240).

12014011525056 is an abundant number, since it is smaller than the sum of its proper divisors (20316373679424).

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

12014011525056 is a wasteful number, since it uses less digits than its factorization.

12014011525056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149322 (or 149312 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 12014011525056 its reverse (65052511041021), we get a palindrome (77066522566077).

The spelling of 12014011525056 in words is "twelve trillion, fourteen billion, eleven million, five hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 7481 11328 14962 22443 29924 44886 59848 89772 119696 141767 179544 239392 283534 359088 425301 441379 478784 567068 718176 850602 882758 1134136 1324137 1436352 1701204 1765516 2268272 2648274 3402408 3531032 4536544 5296548 6804816 7062064 8364253 9073088 10593096 13609632 14124128 16728506 21186192 25092759 27219264 28248256 33457012 42372384 50185518 66914024 84744768 100371036 133828048 200742072 267656096 401484144 535312192 802968288 1060558927 1605936576 2121117854 3181676781 4242235708 6363353562 8484471416 12726707124 16968942832 25453414248 33937885664 50906828496 62572976693 67875771328 101813656992 125145953386 187718930079 203627313984 250291906772 375437860158 500583813544 750875720316 1001167627088 1501751440632 2002335254176 3003502881264 4004670508352 6007005762528 12014011525056