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12010200201021 = 3112371483602977
BaseRepresentation
bin1010111011000101011110…
…1101110111011100111101
31120112011102111120000002110
42232301113231313130331
53033233342222413041
641313224303444233
72346464646206631
oct256612755673475
946464374500073
1012010200201021
1139105519a9900
12141b7a78b6679
13691731a049a9
142d7422576dc1
1515c62d677516
hexaec57b7773d

12010200201021 has 48 divisors (see below), whose sum is σ = 18089668020032. Its totient is φ = 7077394621440.

The previous prime is 12010200200881. The next prime is 12010200201031.

12010200201021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12010200201021 - 219 = 12010199676733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12010200200988 and 12010200201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010200201031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19616685 + ... + 20219661.

Almost surely, 212010200201021 is an apocalyptic number.

12010200201021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12010200201021 is a deficient number, since it is larger than the sum of its proper divisors (6079467819011).

12010200201021 is a wasteful number, since it uses less digits than its factorization.

12010200201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604522 (or 604511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 12010200 and 201021, that added together give a palindrome (12211221).

The spelling of 12010200201021 in words is "twelve trillion, ten billion, two hundred million, two hundred one thousand, twenty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 1483 4449 4477 13431 16313 48939 54871 164613 179443 538329 602977 603581 1808931 1810743 6632747 6639391 19898241 19918173 22310149 66930447 72960217 218880651 245411639 736234917 894214891 2682644673 2699528029 8098584087 9836363801 29509091403 33085950967 99257852901 108200001811 324600005433 363945460637 1091836381911 4003400067007 12010200201021