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12022122031020 = 2232566789566839
BaseRepresentation
bin1010111011110001111001…
…0100000010011110101100
31120120022012100120201100200
42232330132110002132230
53033432301214443040
641322515301553500
72350366251121533
oct256743624023654
946508170521320
1012022122031020
11391560a51a172
121421b74415890
136928b18ca07a
142d7c33a4731a
1515caca106630
hexaef1e5027ac

12022122031020 has 36 divisors (see below), whose sum is σ = 36467103494640. Its totient is φ = 3205899208224.

The previous prime is 12022122030959. The next prime is 12022122031027. The reversal of 12022122031020 is 2013022122021.

12022122031020 is a `hidden beast` number, since 120 + 2 + 212 + 2 + 0 + 310 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12022122030984 and 12022122031002.

It is not an unprimeable number, because it can be changed into a prime (12022122031027) 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 11 ways as a sum of consecutive naturals, for example, 33394783240 + ... + 33394783599.

Almost surely, 212022122031020 is an apocalyptic number.

12022122031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022122031020 is an abundant number, since it is smaller than the sum of its proper divisors (24444981463620).

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

12022122031020 is a wasteful number, since it uses less digits than its factorization.

12022122031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66789566854 (or 66789566849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12022122031020 its reverse (2013022122021), we get a palindrome (14035144153041).

The spelling of 12022122031020 in words is "twelve trillion, twenty-two billion, one hundred twenty-two million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 66789566839 133579133678 200368700517 267158267356 333947834195 400737401034 601106101551 667895668390 801474802068 1001843502585 1202212203102 1335791336780 2003687005170 2404424406204 3005530507755 4007374010340 6011061015510 12022122031020