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12021001011201 = 3721310758789013
BaseRepresentation
bin1010111011101101101101…
…1111101100000000000001
31120120012022020012000021010
42232323123133230000001
53033423002224324301
641322212134351133
72350326416451300
oct256733337540001
946505266160233
1012021001011201
113915094758406
121421900abb4a9
13692763599a30
142d7b68bd6437
1515ca619bc5d6
hexaeedb7ec001

12021001011201 has 48 divisors (see below), whose sum is σ = 20266689530304. Its totient is φ = 6281488354176.

The previous prime is 12021001011191. The next prime is 12021001011203. The reversal of 12021001011201 is 10211010012021.

It is not a de Polignac number, because 12021001011201 - 215 = 12021000978433 is a prime.

It is a super-2 number, since 2×120210010112012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12021001011203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29190030 + ... + 29598983.

It is an arithmetic number, because the mean of its divisors is an integer number (422222698548).

Almost surely, 212021001011201 is an apocalyptic number.

It is an amenable number.

12021001011201 is a deficient number, since it is larger than the sum of its proper divisors (8245688519103).

12021001011201 is a wasteful number, since it uses less digits than its factorization.

12021001011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58789150 (or 58789143 counting only the distinct ones).

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

Adding to 12021001011201 its reverse (10211010012021), we get a palindrome (22232011023222).

The spelling of 12021001011201 in words is "twelve trillion, twenty-one billion, one million, eleven thousand, two hundred one".

Divisors: 1 3 7 13 21 39 49 91 107 147 273 321 637 749 1391 1911 2247 4173 5243 9737 15729 29211 68159 204477 58789013 176367039 411523091 764257169 1234569273 2292771507 2880661637 5349800183 6290424391 8641984911 16049400549 18871273173 37448601281 44032970737 81775517083 112345803843 132098912211 245326551249 308230795159 572428619581 924692385477 1717285858743 4007000337067 12021001011201