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12014462126224 = 24291971019128987
BaseRepresentation
bin1010111011010101010110…
…1111110100100010010000
31120112120102112010020101001
42232311111233310202100
53033321104301014344
641315211231351344
72350005400033555
oct256652557644220
946476375106331
1012014462126224
113912339721338
121420597082554
13691c60982a1c
142d77085cca2c
1515c7cc8d9ed4
hexaed55bf4890

12014462126224 has 80 divisors (see below), whose sum is σ = 24226887326400. Its totient is φ = 5764935368192.

The previous prime is 12014462126209. The next prime is 12014462126243. The reversal of 12014462126224 is 42262126441021.

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 15 ways as a sum of consecutive naturals, for example, 93080259 + ... + 93209245.

It is an arithmetic number, because the mean of its divisors is an integer number (302836091580).

Almost surely, 212014462126224 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 12014462126224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113443663200).

12014462126224 is an abundant number, since it is smaller than the sum of its proper divisors (12212425200176).

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

12014462126224 is a wasteful number, since it uses less digits than its factorization.

12014462126224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130240 (or 130234 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 12014462126224 its reverse (42262126441021), we get a palindrome (54276588567245).

The spelling of 12014462126224 in words is "twelve trillion, fourteen billion, four hundred sixty-two million, one hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 197 232 394 464 788 1019 1576 2038 3152 4076 5713 8152 11426 16304 22852 29551 45704 59102 91408 118204 128987 200743 236408 257974 401486 472816 515948 802972 1031896 1605944 2063792 3211888 3740623 5821547 7481246 11643094 14962492 23286188 25410439 29924984 46572376 50820878 59849968 93144752 101641756 131437753 203283512 262875506 406567024 525751012 736902731 1051502024 1473805462 2103004048 2947610924 3811694837 5895221848 7623389674 11790443696 15246779348 25893237341 30493558696 51786474682 60987117392 103572949364 207145898728 414291797456 750903882889 1501807765778 3003615531556 6007231063112 12014462126224