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12012221101329 = 332611317037379
BaseRepresentation
bin1010111011001101000000…
…1010111111010100010001
31120112100122100020101011000
42232303100022333110101
53033302012100220304
641314201014412213
72346566015450361
oct256632012772421
946470570211130
1012012221101329
113911399721149
121420070661069
136919945b91a7
142d7574b129a1
1515c6eacb7939
hexaecd02bf511

12012221101329 has 16 divisors (see below), whose sum is σ = 17796565652800. Its totient is φ = 8007840258048.

The previous prime is 12012221101253. The next prime is 12012221101379. The reversal of 12012221101329 is 92310112221021.

12012221101329 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 222 + 110 + 1 + 329 = 666.

12012221101329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12012221101329 - 219 = 12012220577041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12012221101379) 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, 7813639 + ... + 9223740.

It is an arithmetic number, because the mean of its divisors is an integer number (1112285353300).

Almost surely, 212012221101329 is an apocalyptic number.

It is an amenable number.

12012221101329 is a deficient number, since it is larger than the sum of its proper divisors (5784344551471).

12012221101329 is a wasteful number, since it uses less digits than its factorization.

12012221101329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17063501 (or 17063495 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12012221101329 in words is "twelve trillion, twelve billion, two hundred twenty-one million, one hundred one thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 26113 78339 235017 705051 17037379 51112137 153336411 460009233 444897077827 1334691233481 4004073700443 12012221101329