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2012102120 = 235731231809
BaseRepresentation
bin111011111101110…
…0011110111101000
312012020010101012202
41313323203313220
513110044231440
6531354155332
7100601404640
oct16773436750
95166111182
102012102120
11942863116
12481a22b48
13260b23992
14151329520
15bb9a3615
hex77ee3de8

2012102120 has 64 divisors (see below), whose sum is σ = 5340902400. Its totient is φ = 667607040.

The previous prime is 2012102117. The next prime is 2012102129. The reversal of 2012102120 is 212012102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2012102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107225 + ... + 124584.

It is an arithmetic number, because the mean of its divisors is an integer number (83451600).

Almost surely, 22012102120 is an apocalyptic number.

2012102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012102120 is an abundant number, since it is smaller than the sum of its proper divisors (3328800280).

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

2012102120 is a wasteful number, since it uses less digits than its factorization.

2012102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231858 (or 231854 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2012102120 is about 44856.4612960051. The cubic root of 2012102120 is about 1262.4572271886.

Adding to 2012102120 its reverse (212012102), we get a palindrome (2224114222).

The spelling of 2012102120 in words is "two billion, twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 231809 463618 927236 1159045 1622663 1854472 2318090 3245326 4636180 6490652 7186079 8113315 9272360 12981304 14372158 16226630 28744316 32453260 35930395 50302553 57488632 64906520 71860790 100605106 143721580 201210212 251512765 287443160 402420424 503025530 1006051060 2012102120