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12102201309942 = 233401558889873
BaseRepresentation
bin1011000000011100001101…
…1010001111101011110110
31120211221220012212120121000
42300013003122033223312
53041240302013404232
641423401410504130
72356232554554162
oct260070332175366
946757805776530
1012102201309942
113946573154717
1214355a2895046
1369a30429bc93
142dba6d13bca2
1515ec1553527c
hexb01c368faf6

12102201309942 has 32 divisors (see below), whose sum is σ = 26960847521760. Its totient is φ = 4024007078400.

The previous prime is 12102201309941. The next prime is 12102201310051. The reversal of 12102201309942 is 24990310220121.

12102201309942 is a `hidden beast` number, since 1 + 2 + 102 + 201 + 309 + 9 + 42 = 666.

It is a super-3 number, since 3×121022013099423 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102201309897 and 12102201309906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102201309941) 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, 279423283 + ... + 279466590.

It is an arithmetic number, because the mean of its divisors is an integer number (842526485055).

Almost surely, 212102201309942 is an apocalyptic number.

12102201309942 is an abundant number, since it is smaller than the sum of its proper divisors (14858646211818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102201309942 is a wasteful number, since it uses less digits than its factorization.

12102201309942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558890285 (or 558890279 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12102201309942 in words is "twelve trillion, one hundred two billion, two hundred one million, three hundred nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 401 802 1203 2406 3609 7218 10827 21654 558889873 1117779746 1676669619 3353339238 5030008857 10060017714 15090026571 30180053142 224114839073 448229678146 672344517219 1344689034438 2017033551657 4034067103314 6051100654971 12102201309942