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12002222222010 = 2325133358024689
BaseRepresentation
bin1010111010100111110000…
…1100010010101010111010
31120111101211111120200022100
42232221330030102222322
53033121022342101020
641305424512004230
72346063153413616
oct256517414225272
946441744520270
1012002222222010
113908128602119
12141a13bb30676
13690a5cc01b57
142d6ca6ba2346
1515c31307ba90
hexaea7c312aba

12002222222010 has 24 divisors (see below), whose sum is σ = 31205777777460. Its totient is φ = 3200592592512.

The previous prime is 12002222221987. The next prime is 12002222222041. The reversal of 12002222222010 is 1022222220021.

12002222222010 is a `hidden beast` number, since 1 + 20 + 0 + 222 + 222 + 201 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11850372498969 + 151849723041 = 3442437^2 + 389679^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66679012255 + ... + 66679012434.

Almost surely, 212002222222010 is an apocalyptic number.

12002222222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002222222010 is an abundant number, since it is smaller than the sum of its proper divisors (19203555555450).

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

12002222222010 is a wasteful number, since it uses less digits than its factorization.

12002222222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133358024702 (or 133358024699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12002222222010 its reverse (1022222220021), we get a palindrome (13024444442031).

The spelling of 12002222222010 in words is "twelve trillion, two billion, two hundred twenty-two million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 133358024689 266716049378 400074074067 666790123445 800148148134 1200222222201 1333580246890 2000370370335 2400444444402 4000740740670 6001111111005 12002222222010