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12000011112012 = 22371112987025013
BaseRepresentation
bin1010111010011111100001…
…1001100100111001001100
31120111012010101222122121110
42232213320121210321030
53033102010321041022
641304421244132020
72345654314323030
oct256477031447114
946435111878543
1012000011112012
1139071a3484490
121419823537010
13690799ab0641
142d6b372721c0
1515c233db800c
hexae9f8664e4c

12000011112012 has 48 divisors (see below), whose sum is σ = 34909123237632. Its totient is φ = 3116886002880.

The previous prime is 12000011112007. The next prime is 12000011112031. The reversal of 12000011112012 is 21021111000021.

It is a super-2 number, since 2×120000111120122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6493511583 + ... + 6493513430.

It is an arithmetic number, because the mean of its divisors is an integer number (727273400784).

Almost surely, 212000011112012 is an apocalyptic number.

12000011112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000011112012 is an abundant number, since it is smaller than the sum of its proper divisors (22909112125620).

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

12000011112012 is a wasteful number, since it uses less digits than its factorization.

12000011112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12987025038 (or 12987025036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12000011112012 its reverse (21021111000021), we get a palindrome (33021122112033).

The spelling of 12000011112012 in words is "twelve trillion, eleven million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 12987025013 25974050026 38961075039 51948100052 77922150078 90909175091 142857275143 155844300156 181818350182 272727525273 285714550286 363636700364 428571825429 545455050546 571429100572 857143650858 1000000926001 1090910101092 1714287301716 2000001852002 3000002778003 4000003704004 6000005556006 12000011112012