Search a number
-
+
12021022012021 = 1110191911773669
BaseRepresentation
bin1010111011101101110010…
…1111110011001001110101
31120120012100200200221222021
42232323130233303021311
53033423023113341041
641322214204433141
72350330063116211
oct256733457631165
946505320627867
1012021022012021
1139150a55a1660
121421907b487b1
13692767a40859
142d7b6b901941
1515ca63769cd1
hexaeedcbf3275

12021022012021 has 16 divisors (see below), whose sum is σ = 13258094313600. Its totient is φ = 10808227224000.

The previous prime is 12021022011953. The next prime is 12021022012033.

It is a happy number.

12021022012021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12021022012021 - 211 = 12021022009973 is a prime.

It is a super-2 number, since 2×120210220120212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12021022011986 and 12021022012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021022016021) 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, 4865826 + ... + 6907843.

It is an arithmetic number, because the mean of its divisors is an integer number (828630894600).

Almost surely, 212021022012021 is an apocalyptic number.

12021022012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12021022012021 is a deficient number, since it is larger than the sum of its proper divisors (1237072301579).

12021022012021 is a wasteful number, since it uses less digits than its factorization.

12021022012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774700.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1202102 and 2012021, that added together give a palindrome (3214123).

The spelling of 12021022012021 in words is "twelve trillion, twenty-one billion, twenty-two million, twelve thousand, twenty-one".

Divisors: 1 11 101 919 1111 10109 92819 1021009 11773669 129510359 1189140569 10820001811 13080546259 119020019921 1092820182911 12021022012021