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12121010112012 = 2231010084176001
BaseRepresentation
bin1011000001100010010010…
…0000001000011000001100
31120220202110000221201110220
42300120210200020120030
53042042312042041022
641440152024431340
72360466634002624
oct260304440103014
946822400851426
1012121010112012
11395354523a03a
121439171918550
1369c010c44969
142dc935145884
1516046690385c
hexb062480860c

12121010112012 has 12 divisors (see below), whose sum is σ = 28282356928056. Its totient is φ = 4040336704000.

The previous prime is 12121010111981. The next prime is 12121010112017. The reversal of 12121010112012 is 21021101012121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×121210101120122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121010111982 and 12121010112000.

It is not an unprimeable number, because it can be changed into a prime (12121010112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505042087989 + ... + 505042088012.

It is an arithmetic number, because the mean of its divisors is an integer number (2356863077338).

Almost surely, 212121010112012 is an apocalyptic number.

12121010112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121010112012 is an abundant number, since it is smaller than the sum of its proper divisors (16161346816044).

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

12121010112012 is a wasteful number, since it uses less digits than its factorization.

12121010112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010084176008 (or 1010084176006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12121010112012 its reverse (21021101012121), we get a palindrome (33142111124133).

The spelling of 12121010112012 in words is "twelve trillion, one hundred twenty-one billion, ten million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 1010084176001 2020168352002 3030252528003 4040336704004 6060505056006 12121010112012