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12114010412301 = 3723324171024321
BaseRepresentation
bin1011000001001000001101…
…0010011001010100001101
31120220002101012210010121110
42300102003102121110031
53041433443131143201
641433033300522233
72360131320354060
oct260220322312415
946802335703543
1012114010412301
113950583080046
1214379396b0379
1369b466a15605
142dc46d6668d7
151601a71486d6
hexb048349950d

12114010412301 has 32 divisors (see below), whose sum is σ = 18546357742848. Its totient is φ = 6889723822080.

The previous prime is 12114010412293. The next prime is 12114010412321. The reversal of 12114010412301 is 10321401041121.

It is not a de Polignac number, because 12114010412301 - 23 = 12114010412293 is a prime.

It is a super-3 number, since 3×121140104123013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114010412321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11314221 + ... + 12338541.

It is an arithmetic number, because the mean of its divisors is an integer number (579573679464).

Almost surely, 212114010412301 is an apocalyptic number.

It is an amenable number.

12114010412301 is a deficient number, since it is larger than the sum of its proper divisors (6432347330547).

12114010412301 is a wasteful number, since it uses less digits than its factorization.

12114010412301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026981.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12114010412301 its reverse (10321401041121), we get a palindrome (22435411453422).

The spelling of 12114010412301 in words is "twelve trillion, one hundred fourteen billion, ten million, four hundred twelve thousand, three hundred one".

Divisors: 1 3 7 21 233 699 1631 2417 4893 7251 16919 50757 563161 1024321 1689483 3072963 3942127 7170247 11826381 21510741 238666793 716000379 1670667551 2475783857 5012002653 7427351571 17330486999 51991460997 576857638681 1730572916043 4038003470767 12114010412301