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12201012002020 = 22511353201101477
BaseRepresentation
bin1011000110001100010011…
…1111000111110011100100
31121012101221111121211002011
42301203010333013303210
53044400133033031040
641541022330524004
72366331310565512
oct261430477076344
947171844554064
1012201012002020
113984469217106
12145077a296604
136a672058bb0a
143027642534b2
1516259a1473ea
hexb18c4fc7ce4

12201012002020 has 48 divisors (see below), whose sum is σ = 25849610278128. Its totient is φ = 4837076787200.

The previous prime is 12201012001991. The next prime is 12201012002027. The reversal of 12201012002020 is 2020021010221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 975148350016 + 11225863652004 = 987496^2 + 3350502^2 .

It is not an unprimeable number, because it can be changed into a prime (12201012002027) 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, 120183522 + ... + 120284998.

It is an arithmetic number, because the mean of its divisors is an integer number (538533547461).

Almost surely, 212201012002020 is an apocalyptic number.

12201012002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201012002020 is an abundant number, since it is smaller than the sum of its proper divisors (13648598276108).

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

12201012002020 is a wasteful number, since it uses less digits than its factorization.

12201012002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154800 (or 154798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12201012002020 its reverse (2020021010221), we get a palindrome (14221033012241).

The spelling of 12201012002020 in words is "twelve trillion, two hundred one billion, twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 53201 101477 106402 202954 212804 266005 405908 507385 532010 1014770 1064020 2029540 6011713 11466901 12023426 22933802 24046852 30058565 45867604 57334505 60117130 114669010 120234260 229338020 5398677877 10797355754 21594711508 26993389385 53986778770 107973557540 610050600101 1220101200202 2440202400404 3050253000505 6100506001010 12201012002020