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12201111001020 = 2235751270774767
BaseRepresentation
bin1011000110001100101011…
…1000110001011110111100
31121012102012101220111011210
42301203022320301132330
53044400333404013040
641541040224444420
72366333622221364
oct261431270613674
947172171814153
1012201111001020
11398450a094567
1214507a7479710
136a6737c41ac6
143027734639a4
151625a3ba0480
hexb18cae317bc

12201111001020 has 48 divisors (see below), whose sum is σ = 34208601090048. Its totient is φ = 3249297192000.

The previous prime is 12201111001003. The next prime is 12201111001021. The reversal of 12201111001020 is 2010011110221.

It is a super-2 number, since 2×122011110010202 (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 a junction number, because it is equal to n+sod(n) for n = 12201111000987 and 12201111001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201111001021) 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 15 ways as a sum of consecutive naturals, for example, 135342324 + ... + 135432443.

It is an arithmetic number, because the mean of its divisors is an integer number (712679189376).

Almost surely, 212201111001020 is an apocalyptic number.

12201111001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201111001020 is an abundant number, since it is smaller than the sum of its proper divisors (22007490089028).

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

12201111001020 is a wasteful number, since it uses less digits than its factorization.

12201111001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270775530 (or 270775528 counting only the distinct ones).

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

Adding to 12201111001020 its reverse (2010011110221), we get a palindrome (14211122111241).

The spelling of 12201111001020 in words is "twelve trillion, two hundred one billion, one hundred eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 751 1502 2253 3004 3755 4506 7510 9012 11265 15020 22530 45060 270774767 541549534 812324301 1083099068 1353873835 1624648602 2707747670 3249297204 4061621505 5415495340 8123243010 16246486020 203351850017 406703700034 610055550051 813407400068 1016759250085 1220111100102 2033518500170 2440222200204 3050277750255 4067037000340 6100555500510 12201111001020