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212001121210120 = 235113263314764831
BaseRepresentation
bin110000001101000001011011…
…100001011000111100001000
31000210122002221122110112111121
4300031001123201120330020
5210241411244012210440
62030515545351005024
762440401262422304
oct6015013341307410
91023562848415447
10212001121210120
1161606197079990
121b93b2a2669774
13913a80a0475b8
143a4cca24a2d04
15197998063534a
hexc0d05b858f08

212001121210120 has 64 divisors (see below), whose sum is σ = 520382369687040. Its totient is φ = 77088949209600.

The previous prime is 212001121210111. The next prime is 212001121210139. The reversal of 212001121210120 is 21012121100212.

It is a junction number, because it is equal to n+sod(n) for n = 212001121210094 and 212001121210103.

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 15 ways as a sum of consecutive naturals, for example, 6976105 + ... + 21740935.

It is an arithmetic number, because the mean of its divisors is an integer number (8130974526360).

Almost surely, 2212001121210120 is an apocalyptic number.

212001121210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001121210120 is an abundant number, since it is smaller than the sum of its proper divisors (308381248476920).

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

212001121210120 is a wasteful number, since it uses less digits than its factorization.

212001121210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14797486 (or 14797482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212001121210120 its reverse (21012121100212), we get a palindrome (233013242310332).

The spelling of 212001121210120 in words is "two hundred twelve trillion, one billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 32633 65266 130532 163165 261064 326330 358963 652660 717926 1305320 1435852 1794815 2871704 3589630 7179260 14358520 14764831 29529662 59059324 73824155 118118648 147648310 162413141 295296620 324826282 590593240 649652564 812065705 1299305128 1624131410 3248262820 6496525640 481820730023 963641460046 1927282920092 2409103650115 3854565840184 4818207300230 5300028030253 9636414600460 10600056060506 19272829200920 21200112121012 26500140151265 42400224242024 53000280302530 106000560605060 212001121210120