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2012210222120 = 235752113793599
BaseRepresentation
bin11101010010000001000…
…100110101010000101000
321010100212101112101211222
4131102001010311100220
5230432001304101440
64140221400241212
7265243305452210
oct35220104652050
97110771471758
102012210222120
1170641223744a
12285b91170208
1311799b121b87
146d56a391240
153751ee262b5
hex1d481135428

2012210222120 has 64 divisors (see below), whose sum is σ = 5184186624000. Its totient is φ = 688576412160.

The previous prime is 2012210222117. The next prime is 2012210222129. The reversal of 2012210222120 is 212220122102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2012210222129) 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, 6750920 + ... + 7042679.

It is an arithmetic number, because the mean of its divisors is an integer number (81002916000).

Almost surely, 22012210222120 is an apocalyptic number.

2012210222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012210222120 is an abundant number, since it is smaller than the sum of its proper divisors (3171976401880).

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

2012210222120 is a wasteful number, since it uses less digits than its factorization.

2012210222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794138 (or 13794134 counting only the distinct ones).

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

Adding to 2012210222120 its reverse (212220122102), we get a palindrome (2224430344222).

The spelling of 2012210222120 in words is "two trillion, twelve billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 521 1042 2084 2605 3647 4168 5210 7294 10420 14588 18235 20840 29176 36470 72940 145880 13793599 27587198 55174396 68967995 96555193 110348792 137935990 193110386 275871980 386220772 482775965 551743960 772441544 965551930 1931103860 3862207720 7186465079 14372930158 28745860316 35932325395 50305255553 57491720632 71864650790 100610511106 143729301580 201221022212 251526277765 287458603160 402442044424 503052555530 1006105111060 2012210222120