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12214024434001 = 132149485049221
BaseRepresentation
bin1011000110111100110010…
…0101100111000101010001
31121020122112100210212000101
42301233030211213011101
53100103310223342001
641551013444252401
72400301624462135
oct261571445470521
947218470725011
1012214024434001
113989a36412925
1214531b00a1101
136a7a153c4300
1430323a4d73c5
15162aac702a01
hexb1bcc967151

12214024434001 has 12 divisors (see below), whose sum is σ = 13314601143900. Its totient is φ = 11198816391360.

The previous prime is 12214024433999. The next prime is 12214024434013. The reversal of 12214024434001 is 10043442041221.

12214024434001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6348308572225 + 5865715861776 = 2519585^2 + 2421924^2 .

It is not a de Polignac number, because 12214024434001 - 21 = 12214024433999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12214024444001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242499430 + ... + 242549791.

It is an arithmetic number, because the mean of its divisors is an integer number (1109550095325).

Almost surely, 212214024434001 is an apocalyptic number.

It is an amenable number.

12214024434001 is a deficient number, since it is larger than the sum of its proper divisors (1100576709899).

12214024434001 is a wasteful number, since it uses less digits than its factorization.

12214024434001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485049396 (or 485049383 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12214024434001 its reverse (10043442041221), we get a palindrome (22257466475222).

The spelling of 12214024434001 in words is "twelve trillion, two hundred fourteen billion, twenty-four million, four hundred thirty-four thousand, one".

Divisors: 1 13 149 169 1937 25181 485049221 6305639873 72272333929 81973318349 939540341077 12214024434001