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12212135001 = 32115919710613
BaseRepresentation
bin10110101111110011…
…00110010001011001
31011112002021201212100
423113321212101121
5200002301310001
65335444234013
7611425302063
oct132771462131
934462251770
1012212135001
1151a7482860
12244999b909
1311c80aa3b1
1483bc7c733
154b71c5586
hex2d7e66459

12212135001 has 48 divisors (see below), whose sum is σ = 19670713920. Its totient is φ = 7238232960.

The previous prime is 12212134997. The next prime is 12212135041. The reversal of 12212135001 is 10053121221.

It is not a de Polignac number, because 12212135001 - 22 = 12212134997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12212135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145371 + ... + 1155983.

It is an arithmetic number, because the mean of its divisors is an integer number (409806540).

Almost surely, 212212135001 is an apocalyptic number.

12212135001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212135001 is a deficient number, since it is larger than the sum of its proper divisors (7458578919).

12212135001 is a wasteful number, since it uses less digits than its factorization.

12212135001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12212135001 its reverse (10053121221), we get a palindrome (22265256222).

The spelling of 12212135001 in words is "twelve billion, two hundred twelve million, one hundred thirty-five thousand, one".

Divisors: 1 3 9 11 33 59 99 177 197 531 591 649 1773 1947 2167 5841 6501 10613 11623 19503 31839 34869 95517 104607 116743 127853 350229 383559 626167 1050687 1150677 1878501 2090761 5635503 6272283 6887837 18816849 20663511 22998371 61990533 68995113 123354899 206985339 370064697 1110194091 1356903889 4070711667 12212135001