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12014122141021 = 7111332713669251
BaseRepresentation
bin1010111011010100000101…
…1110111000010101011101
31120112112112211101012100111
42232311001132320111131
53033314410232003041
641315113404330021
72346664101150220
oct256650136702535
946475484335314
1012014122141021
113912184817430
121420501243911
13691c083c5050
142d76b53ab5b7
1515c7acb2d981
hexaed417b855d

12014122141021 has 32 divisors (see below), whose sum is σ = 16135785179136. Its totient is φ = 8638882200000.

The previous prime is 12014122140991. The next prime is 12014122141037.

12014122141021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12014122141021 - 29 = 12014122140509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12014122140983 and 12014122141001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014122141051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439646 + ... + 5108896.

It is an arithmetic number, because the mean of its divisors is an integer number (504243286848).

Almost surely, 212014122141021 is an apocalyptic number.

12014122141021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12014122141021 is a deficient number, since it is larger than the sum of its proper divisors (4121663038115).

12014122141021 is a wasteful number, since it uses less digits than its factorization.

12014122141021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672553.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1201412 and 2141021, that added together give a palindrome (3342433).

The spelling of 12014122141021 in words is "twelve trillion, fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 3271 22897 35981 42523 251867 297661 467753 3274271 3669251 25684757 40361761 47700263 282532327 333901841 524702893 3672920251 12002120021 84014840147 132023320231 156027560273 924163241617 1092192921911 1716303163003 12014122141021