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1210042120 = 235710194241
BaseRepresentation
bin100100000011111…
…1100011100001000
310010022220111201211
41020013330130020
54434232321440
6320023222504
741662121410
oct11007743410
93108814654
101210042120
11571045611
122992a7a34
131638cc271
14b69c5640
1571370eea
hex481fc708

1210042120 has 64 divisors (see below), whose sum is σ = 3115324800. Its totient is φ = 414366720.

The previous prime is 1210042111. The next prime is 1210042129. The reversal of 1210042120 is 212400121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1210042111) and next prime (1210042129).

It is a self number, because there is not a number n which added to its sum of digits gives 1210042120.

It is not an unprimeable number, because it can be changed into a prime (1210042129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283200 + ... + 287440.

It is an arithmetic number, because the mean of its divisors is an integer number (48676950).

Almost surely, 21210042120 is an apocalyptic number.

1210042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210042120 is an abundant number, since it is smaller than the sum of its proper divisors (1905282680).

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

1210042120 is a wasteful number, since it uses less digits than its factorization.

1210042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5274 counting only the distinct ones).

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

The square root of 1210042120 is about 34785.6596890155. The cubic root of 1210042120 is about 1065.6146011317.

Adding to 1210042120 its reverse (212400121), we get a palindrome (1422442241).

The spelling of 1210042120 in words is "one billion, two hundred ten million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1019 2038 4076 4241 5095 7133 8152 8482 10190 14266 16964 20380 21205 28532 29687 33928 35665 40760 42410 57064 59374 71330 84820 118748 142660 148435 169640 237496 285320 296870 593740 1187480 4321579 8643158 17286316 21607895 30251053 34572632 43215790 60502106 86431580 121004212 151255265 172863160 242008424 302510530 605021060 1210042120