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12210212332131 = 3111721765084371
BaseRepresentation
bin1011000110101110100101…
…0111100110001001100011
31121020021200200200000100020
42301223221113212021203
53100023003324112011
641545143305524523
72400105305240412
oct261535127461143
947207620600306
1012210212332131
11398835a5a6310
1214525074a3743
136a75586b0728
14302d980d5479
15162937be6006
hexb1ae95e6263

12210212332131 has 16 divisors (see below), whose sum is σ = 18805032897408. Its totient is φ = 6964826998400.

The previous prime is 12210212332051. The next prime is 12210212332139. The reversal of 12210212332131 is 13123321201221.

It is a cyclic number.

It is not a de Polignac number, because 12210212332131 - 226 = 12210145223267 is a prime.

It is a super-2 number, since 2×122102123321312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12210212332139) 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 15 ways as a sum of consecutive naturals, for example, 10882541625 + ... + 10882542746.

It is an arithmetic number, because the mean of its divisors is an integer number (1175314556088).

Almost surely, 212210212332131 is an apocalyptic number.

12210212332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12210212332131 is a deficient number, since it is larger than the sum of its proper divisors (6594820565277).

12210212332131 is a wasteful number, since it uses less digits than its factorization.

12210212332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21765084402.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12210212332131 its reverse (13123321201221), we get a palindrome (25333533533352).

The spelling of 12210212332131 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 21765084371 65295253113 239415928081 370006434307 718247784243 1110019302921 4070070777377 12210212332131