Search a number
-
+
12021222212019 = 334220871054831
BaseRepresentation
bin1010111011101110100010…
…1011100000000110110011
31120120012212122102011202000
42232323220223200012303
53033423430341241034
641322250115425043
72350335043565526
oct256735053400663
946505778364660
1012021222212019
1139151986008a9
121421962bb5183
1369279a367ba7
142d7b8a336bbd
1515ca76113599
hexaeee8ae01b3

12021222212019 has 16 divisors (see below), whose sum is σ = 17809277168640. Its totient is φ = 8014121556840.

The previous prime is 12021222212017. The next prime is 12021222212047. The reversal of 12021222212019 is 91021222212021.

12021222212019 is a `hidden beast` number, since 1 + 20 + 212 + 2 + 221 + 201 + 9 = 666.

It is not a de Polignac number, because 12021222212019 - 21 = 12021222212017 is a prime.

It is a super-2 number, since 2×120212222120192 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12021222211983 and 12021222212001.

It is not an unprimeable number, because it can be changed into a prime (12021222212011) by changing a digit.

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, 10868934 + ... + 11923764.

It is an arithmetic number, because the mean of its divisors is an integer number (1113079823040).

Almost surely, 212021222212019 is an apocalyptic number.

12021222212019 is a deficient number, since it is larger than the sum of its proper divisors (5788054956621).

12021222212019 is a wasteful number, since it uses less digits than its factorization.

12021222212019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476927 (or 1476921 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12021222212019 in words is "twelve trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, nineteen".

Divisors: 1 3 9 27 422087 1054831 1266261 3164493 3798783 9493479 11396349 28480437 445230452297 1335691356891 4007074070673 12021222212019