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12001002012101 = 73272960240853
BaseRepresentation
bin1010111010100011001101…
…1101100011110111000101
31120111021200110112120222202
42232220303131203313011
53033111023003341401
641305103442404245
72346021005663414
oct256506335436705
946437613476882
1012001002012101
113907661852383
121419a5b360685
136908c718285b
142d6bccad147b
1515c290d9d06b
hexaea33763dc5

12001002012101 has 8 divisors (see below), whose sum is σ = 12169857325080. Its totient is φ = 11832267186432.

The previous prime is 12001002012091. The next prime is 12001002012133. The reversal of 12001002012101 is 10121020010021.

It can be written as a sum of positive squares in 4 ways, for example, as 9396002784100 + 2604999228001 = 3065290^2 + 1614001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001002012101 - 222 = 12000997817797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001002012401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29921210 + ... + 30319643.

It is an arithmetic number, because the mean of its divisors is an integer number (1521232165635).

Almost surely, 212001002012101 is an apocalyptic number.

It is an amenable number.

12001002012101 is a deficient number, since it is larger than the sum of its proper divisors (168855312979).

12001002012101 is an equidigital number, since it uses as much as digits as its factorization.

12001002012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60243655.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001002012101 its reverse (10121020010021), we get a palindrome (22122022022122).

The spelling of 12001002012101 in words is "twelve trillion, one billion, two million, twelve thousand, one hundred one".

Divisors: 1 73 2729 199217 60240853 4397582269 164397287837 12001002012101