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12010311301021 = 1189113127854849
BaseRepresentation
bin1010111011000101111001…
…0101101011011110011101
31120112011201020121110122021
42232301132111223132131
53033234104143113041
641313243313020141
72346500465432425
oct256613625533635
946464636543567
1012010311301021
1139105a9691990
12141b818b54651
1369174ba33937
142d7433217485
1515c6382c0cd1
hexaec5e56b79d

12010311301021 has 32 divisors (see below), whose sum is σ = 13471888896000. Its totient is φ = 10615981178880.

The previous prime is 12010311301013. The next prime is 12010311301031.

It is a happy number.

12010311301021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12010311301021 - 23 = 12010311301013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12010311300986 and 12010311301004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010311301031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13622205 + ... + 14477053.

It is an arithmetic number, because the mean of its divisors is an integer number (420996528000).

Almost surely, 212010311301021 is an apocalyptic number.

12010311301021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12010311301021 is a deficient number, since it is larger than the sum of its proper divisors (1461577594979).

12010311301021 is a wasteful number, since it uses less digits than its factorization.

12010311301021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855189.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1201031 and 1301021, that added together give a palindrome (2502052).

The spelling of 12010311301021 in words is "twelve trillion, ten billion, three hundred eleven million, three hundred one thousand, twenty-one".

Divisors: 1 11 89 113 127 979 1243 1397 10057 11303 14351 110627 124333 157861 854849 1277239 9403339 14049629 76081561 96597937 108565823 836897171 1062577307 1194224053 8597216393 9662358247 12267937999 94569380323 106285940717 134947317989 1091846481911 12010311301021