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12221202132131 = 192414917277477
BaseRepresentation
bin1011000111010111100001…
…1010010110110010100011
31121021100001120220200210212
42301311320122112302203
53100213010221212011
641554202011244335
72400644532061556
oct261657032266243
947240046820725
1012221202132131
113991a89aa7753
121454673a496ab
136a85ba476475
1430371b8ac69d
15162d7c91d08b
hexb1d78696ca3

12221202132131 has 32 divisors (see below), whose sum is σ = 12963650219520. Its totient is φ = 11489092876800.

The previous prime is 12221202132011. The next prime is 12221202132137. The reversal of 12221202132131 is 13123120212221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221202132131 is a prime.

It is a super-2 number, since 2×122212021321312 (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 = 12221202132097 and 12221202132106.

It is not an unprimeable number, because it can be changed into a prime (12221202132137) 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 31 ways as a sum of consecutive naturals, for example, 1634502365 + ... + 1634509841.

It is an arithmetic number, because the mean of its divisors is an integer number (405114069360).

Almost surely, 212221202132131 is an apocalyptic number.

12221202132131 is a deficient number, since it is larger than the sum of its proper divisors (742448087389).

12221202132131 is a wasteful number, since it uses less digits than its factorization.

12221202132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 12221202132131 its reverse (13123120212221), we get a palindrome (25344322344352).

The spelling of 12221202132131 in words is "twelve trillion, two hundred twenty-one billion, two hundred two million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 19 241 491 727 4579 7477 9329 13813 118331 142063 175207 356957 1801957 2248289 3328933 3671207 5435779 6782183 34237183 69752933 86026637 103279801 884760887 1310022739 1634506103 2668967489 16810456853 24890432041 50710382291 643221164849 12221202132131