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12111100001 = 71113163199373
BaseRepresentation
bin10110100011110000…
…01011100001100001
31011021001011121220022
423101320023201201
5144300420200001
65321434523225
7606060436310
oct132170134141
934231147808
1012111100001
115155444760
12241bb96515
1311b0193780
1482c69c277
154ad3b911b
hex2d1e0b861

12111100001 has 64 divisors (see below), whose sum is σ = 16487116800. Its totient is φ = 8591235840.

The previous prime is 12111099971. The next prime is 12111100039. The reversal of 12111100001 is 10000111121.

It is a happy number.

It is not a de Polignac number, because 12111100001 - 210 = 12111098977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12111100051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32469251 + ... + 32469623.

It is an arithmetic number, because the mean of its divisors is an integer number (257611200).

Almost surely, 212111100001 is an apocalyptic number.

12111100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111100001 is a deficient number, since it is larger than the sum of its proper divisors (4376016799).

12111100001 is a wasteful number, since it uses less digits than its factorization.

12111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12111100001 its reverse (10000111121), we get a palindrome (22111211122).

The spelling of 12111100001 in words is "twelve billion, one hundred eleven million, one hundred thousand, one".

Divisors: 1 7 11 13 77 91 143 163 199 373 1001 1141 1393 1793 2119 2189 2587 2611 4103 4849 12551 14833 15323 18109 23309 28457 28721 32437 33943 53339 60799 74227 163163 199199 227059 356807 373373 421681 425593 519589 668789 790387 816497 964951 2497649 2951767 4638491 4681523 5532709 5715479 6754657 8694257 10614461 12099001 32469437 60859799 74301227 84693007 133089011 157287013 931623077 1101009091 1730157143 12111100001