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12001020011112 = 23311231976452571
BaseRepresentation
bin1010111010100011010010…
…0010001110001001101000
31120111021201201102000222210
42232220310202032021220
53033111042110323422
641305105324245120
72346021314656566
oct256506442161150
946437651360883
1012001020011112
113907670a262a0
121419a653a07a0
136908cab15262
142d6bd1258a36
1515c29275610c
hexaea3488e268

12001020011112 has 64 divisors (see below), whose sum is σ = 34153100444160. Its totient is φ = 3478556523200.

The previous prime is 12001020011107. The next prime is 12001020011117. The reversal of 12001020011112 is 21111002010021.

It is an interprime number because it is at equal distance from previous prime (12001020011107) and next prime (12001020011117).

It is a super-2 number, since 2×120010200111122 (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 not an unprimeable number, because it can be changed into a prime (12001020011117) 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 15 ways as a sum of consecutive naturals, for example, 988220214 + ... + 988232357.

It is an arithmetic number, because the mean of its divisors is an integer number (533642194440).

Almost surely, 212001020011112 is an apocalyptic number.

12001020011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001020011112 is an abundant number, since it is smaller than the sum of its proper divisors (22152080433048).

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

12001020011112 is a wasteful number, since it uses less digits than its factorization.

12001020011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976452614 (or 1976452610 counting only the distinct ones).

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

Adding to 12001020011112 its reverse (21111002010021), we get a palindrome (33112022021133).

The spelling of 12001020011112 in words is "twelve trillion, one billion, twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 1976452571 3952905142 5929357713 7905810284 11858715426 15811620568 21740978281 23717430852 43481956562 45458409133 47434861704 65222934843 86963913124 90916818266 130445869686 136375227399 173927826248 181833636532 260891739372 272750454798 363667273064 500042500463 521783478744 545500909596 1000085000926 1091001819192 1500127501389 2000170001852 3000255002778 4000340003704 6000510005556 12001020011112