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12022221102201 = 3210148649271861
BaseRepresentation
bin1010111011110010010000…
…1101111101110001111001
31120120022110021000001110200
42232330210031331301321
53033433002100232301
641322533201232413
72350401563165022
oct256744415756171
946508407001420
1012022221102201
113915660436882
121421ba1632709
136928c92a6b7b
142d7c42c75c49
1515cad3b75c86
hexaef2437dc79

12022221102201 has 24 divisors (see below), whose sum is σ = 17537790433800. Its totient is φ = 7935267168000.

The previous prime is 12022221102187. The next prime is 12022221102263. The reversal of 12022221102201 is 10220112222021.

It is a happy number.

12022221102201 is a `hidden beast` number, since 12 + 0 + 222 + 211 + 0 + 220 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7838314490601 + 4183906611600 = 2799699^2 + 2045460^2 .

It is not a de Polignac number, because 12022221102201 - 239 = 11472465288313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12022221102271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44086011 + ... + 44357871.

It is an arithmetic number, because the mean of its divisors is an integer number (730741268075).

Almost surely, 212022221102201 is an apocalyptic number.

It is an amenable number.

12022221102201 is a deficient number, since it is larger than the sum of its proper divisors (5515569331599).

12022221102201 is a wasteful number, since it uses less digits than its factorization.

12022221102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320617 (or 320614 counting only the distinct ones).

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

Adding to 12022221102201 its reverse (10220112222021), we get a palindrome (22242333324222).

The spelling of 12022221102201 in words is "twelve trillion, twenty-two billion, two hundred twenty-one million, one hundred two thousand, two hundred one".

Divisors: 1 3 9 101 303 909 48649 145947 271861 437841 815583 2446749 4913549 14740647 27457961 44221941 82373883 247121649 13225765789 39677297367 119031892101 1335802344689 4007407034067 12022221102201