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12022314012121 = 719374075159951
BaseRepresentation
bin1010111011110010100111…
…0000011000110111011001
31120120022200201211100220211
42232330221300120313121
53033433144341341441
641322550320451121
72350404102000310
oct256745160306731
946508621740824
1012022314012121
1139156a8925436
121422008779aa1
1369291260745a
142d7c5133d277
1515cadbdc9a81
hexaef29c18dd9

12022314012121 has 32 divisors (see below), whose sum is σ = 14854436536320. Its totient is φ = 9498238200000.

The previous prime is 12022314012073. The next prime is 12022314012127. The reversal of 12022314012121 is 12121041322021.

It is a cyclic number.

It is not a de Polignac number, because 12022314012121 - 221 = 12022311914969 is a prime.

It is a super-2 number, since 2×120223140121212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12022314012092 and 12022314012101.

It is not an unprimeable number, because it can be changed into a prime (12022314012127) 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, 200505696 + ... + 200565646.

It is an arithmetic number, because the mean of its divisors is an integer number (464201141760).

Almost surely, 212022314012121 is an apocalyptic number.

It is an amenable number.

12022314012121 is a deficient number, since it is larger than the sum of its proper divisors (2832122524199).

12022314012121 is a wasteful number, since it uses less digits than its factorization.

12022314012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100765.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12022314012121 its reverse (12121041322021), we get a palindrome (24143355334142).

The spelling of 12022314012121 in words is "twelve trillion, twenty-two billion, three hundred fourteen million, twelve thousand, one hundred twenty-one".

Divisors: 1 7 19 37 133 259 703 4921 40751 59951 285257 419657 774269 1139069 1507787 2218187 5419883 7973483 10554509 15527309 28647953 42145553 200535671 295018871 2443063201 17101442407 46418200819 90393338437 324927405733 632753369059 1717473430303 12022314012121