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12212002221200 = 245230530005553
BaseRepresentation
bin1011000110110101010000…
…0011011110110010010000
31121020110022102122210112222
42301231110003132302100
53100040140032034300
641550041045240212
72400200541114035
oct261552403366220
947213272583488
1012212002221200
113989098984481
121452926a03068
136a77824705a2
143030c7ad938c
151629dee03785
hexb1b540dec90

12212002221200 has 30 divisors (see below), whose sum is σ = 29339335337394. Its totient is φ = 4884800888320.

The previous prime is 12212002221193. The next prime is 12212002221203. The reversal of 12212002221200 is 212220021221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 481541620624 + 11730460600576 = 693932^2 + 3424976^2 .

It is not an unprimeable number, because it can be changed into a prime (12212002221203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15265002377 + ... + 15265003176.

Almost surely, 212212002221200 is an apocalyptic number.

12212002221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212002221200 is an abundant number, since it is smaller than the sum of its proper divisors (17127333116194).

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

12212002221200 is a wasteful number, since it uses less digits than its factorization.

12212002221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30530005571 (or 30530005560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12212002221200 its reverse (212220021221), we get a palindrome (12424222242421).

The spelling of 12212002221200 in words is "twelve trillion, two hundred twelve billion, two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30530005553 61060011106 122120022212 152650027765 244240044424 305300055530 488480088848 610600111060 763250138825 1221200222120 1526500277650 2442400444240 3053000555300 6106001110600 12212002221200