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12222212201001 = 331170958042637
BaseRepresentation
bin1011000111011011010010…
…0111011101101000101001
31121021102122222112111211000
42301312310213131220221
53100222042310413001
641554450132425213
72401011545400015
oct261666447355051
947242588474730
1012222212201001
113992458178410
1214548b6178209
136a871b7ca65a
143037b5abb545
15162ddb43ca86
hexb1db49dda29

12222212201001 has 32 divisors (see below), whose sum is σ = 19780931030400. Its totient is φ = 7396953531840.

The previous prime is 12222212200999. The next prime is 12222212201141. The reversal of 12222212201001 is 10010221222221.

It is a happy number.

12222212201001 is a `hidden beast` number, since 1 + 222 + 221 + 220 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 12222212201001 - 21 = 12222212200999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12222212201401) 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, 28810746 + ... + 29231891.

It is an arithmetic number, because the mean of its divisors is an integer number (618154094700).

Almost surely, 212222212201001 is an apocalyptic number.

12222212201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222212201001 is a deficient number, since it is larger than the sum of its proper divisors (7558718829399).

12222212201001 is a wasteful number, since it uses less digits than its factorization.

12222212201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58043366 (or 58043360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12222212201001 its reverse (10010221222221), we get a palindrome (22232433423222).

It can be divided in two parts, 1222221220 and 1001, that added together give a palindrome (1222222221).

The spelling of 12222212201001 in words is "twelve trillion, two hundred twenty-two billion, two hundred twelve million, two hundred one thousand, one".

Divisors: 1 3 9 11 27 33 99 297 709 2127 6381 7799 19143 23397 70191 210573 58042637 174127911 522383733 638469007 1567151199 1915407021 5746221063 17238663189 41152229633 123456688899 370370066697 452674525963 1111110200091 1358023577889 4074070733667 12222212201001