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12124222242121 = 117169122465951
BaseRepresentation
bin1011000001101110001111…
…1101011011110101001001
31120221001201220010211121201
42300123203331123311021
53042120401343221441
641441442451504201
72360642346443503
oct260334375336511
946831656124551
1012124222242121
113954943417a20
1214399095b8061
1369c40356c772
142dcb5b9aad73
151605a38eac31
hexb06e3f5bd49

12124222242121 has 16 divisors (see below), whose sum is σ = 13432123109376. Its totient is φ = 10851053850000.

The previous prime is 12124222242107. The next prime is 12124222242149.

It is a happy number.

12124222242121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12124222242121 - 211 = 12124222240073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12124222242121.

It is not an unprimeable number, because it can be changed into a prime (12124222242151) 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, 10693305 + ... + 11772646.

It is an arithmetic number, because the mean of its divisors is an integer number (839507694336).

Almost surely, 212124222242121 is an apocalyptic number.

12124222242121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12124222242121 is a deficient number, since it is larger than the sum of its proper divisors (1307900867255).

12124222242121 is a wasteful number, since it uses less digits than its factorization.

12124222242121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22466724.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1212422 and 2242121, that added together give a palindrome (3454543).

The spelling of 12124222242121 in words is "twelve trillion, one hundred twenty-four billion, two hundred twenty-two million, two hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 11 71 691 781 7601 49061 539671 22465951 247125461 1595082521 15523972141 17545907731 170763693551 1102202022011 12124222242121