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12205202120 = 235305130053
BaseRepresentation
bin10110101110111110…
…01001101011001000
31011111121020111201222
423113133021223020
5144444012431440
65335035501212
7611312335436
oct132737115310
934447214658
1012205202120
1151a3578001
1224475b7808
1311c68208b7
1483ad95d56
154b67a62b5
hex2d77c9ac8

12205202120 has 16 divisors (see below), whose sum is σ = 27461704860. Its totient is φ = 4882080832.

The previous prime is 12205202111. The next prime is 12205202203. The reversal of 12205202120 is 2120250221.

It can be written as a sum of positive squares in 2 ways, for example, as 11806560964 + 398641156 = 108658^2 + 19966^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152564987 + ... + 152565066.

Almost surely, 212205202120 is an apocalyptic number.

12205202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12205202120 is an abundant number, since it is smaller than the sum of its proper divisors (15256502740).

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

12205202120 is a wasteful number, since it uses less digits than its factorization.

12205202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305130064 (or 305130060 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 12205202120 its reverse (2120250221), we get a palindrome (14325452341).

The spelling of 12205202120 in words is "twelve billion, two hundred five million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 305130053 610260106 1220520212 1525650265 2441040424 3051300530 6102601060 12205202120