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12414020120 = 2351926596143
BaseRepresentation
bin10111000111110111…
…01110101000011000
31012001011011120011222
423203323232220120
5200410442120440
65411455311212
7616426300325
oct134373565030
935034146158
1012414020120
1152a0433067
1224a551b508
13122ab74748
1485a9d1b4c
154c9ca32b5
hex2e3eeea18

12414020120 has 64 divisors (see below), whose sum is σ = 29417472000. Its totient is φ = 4701725568.

The previous prime is 12414020119. The next prime is 12414020123. The reversal of 12414020120 is 2102041421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414020123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2017769 + ... + 2023911.

It is an arithmetic number, because the mean of its divisors is an integer number (459648000).

Almost surely, 212414020120 is an apocalyptic number.

12414020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414020120 is an abundant number, since it is smaller than the sum of its proper divisors (17003451880).

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

12414020120 is a wasteful number, since it uses less digits than its factorization.

12414020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8832 (or 8828 counting only the distinct ones).

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

Adding to 12414020120 its reverse (2102041421), we get a palindrome (14516061541).

The spelling of 12414020120 in words is "twelve billion, four hundred fourteen million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2659 5318 6143 10636 12286 13295 21272 24572 26590 30715 49144 50521 53180 61430 101042 106360 116717 122860 202084 233434 245720 252605 404168 466868 505210 583585 933736 1010420 1167170 2020840 2334340 4668680 16334237 32668474 65336948 81671185 130673896 163342370 310350503 326684740 620701006 653369480 1241402012 1551752515 2482804024 3103505030 6207010060 12414020120