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12010101216 = 253143986939
BaseRepresentation
bin10110010111101101…
…11001100111100000
31011000000010100121120
423023312321213200
5144044041214331
65303430052240
7603423114231
oct131366714740
934000110546
1012010101216
115103430893
1223b21aa080
131195290489
1481d0cb088
154a45b8796
hex2cbdb99e0

12010101216 has 48 divisors (see below), whose sum is σ = 31548787200. Its totient is φ = 4000539008.

The previous prime is 12010101211. The next prime is 12010101217. The reversal of 12010101216 is 61210101021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12010101195 and 12010101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010101211) 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 7 ways as a sum of consecutive naturals, for example, 94675 + ... + 181613.

It is an arithmetic number, because the mean of its divisors is an integer number (657266400).

Almost surely, 212010101216 is an apocalyptic number.

12010101216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12010101216 is an abundant number, since it is smaller than the sum of its proper divisors (19538685984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12010101216 is a wasteful number, since it uses less digits than its factorization.

12010101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88391 (or 88383 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12010101216 its reverse (61210101021), we get a palindrome (73220202237).

The spelling of 12010101216 in words is "twelve billion, ten million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1439 2878 4317 5756 8634 11512 17268 23024 34536 46048 69072 86939 138144 173878 260817 347756 521634 695512 1043268 1391024 2086536 2782048 4173072 8346144 125105221 250210442 375315663 500420884 750631326 1000841768 1501262652 2001683536 3002525304 4003367072 6005050608 12010101216