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2121110120120 = 235291828543207
BaseRepresentation
bin11110110111011100000…
…000111110011010111000
321111202221210220101222112
4132313130000332122320
5234223013142320440
64302231411111452
7306150041353205
oct36673400763270
97452853811875
102121110120120
11748615402652
122a31035a2588
13125034733844
147493b40acac
153a295667965
hex1eddc03e6b8

2121110120120 has 32 divisors (see below), whose sum is σ = 4937066661600. Its totient is φ = 819187356288.

The previous prime is 2121110120081. The next prime is 2121110120141. The reversal of 2121110120120 is 210210111212.

It is a junction number, because it is equal to n+sod(n) for n = 2121110120095 and 2121110120104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 914270444 + ... + 914272763.

It is an arithmetic number, because the mean of its divisors is an integer number (154283333175).

Almost surely, 22121110120120 is an apocalyptic number.

2121110120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121110120120 is an abundant number, since it is smaller than the sum of its proper divisors (2815956541480).

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

2121110120120 is a wasteful number, since it uses less digits than its factorization.

2121110120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828543247 (or 1828543243 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121110120120 its reverse (210210111212), we get a palindrome (2331320231332).

The spelling of 2121110120120 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1828543207 3657086414 7314172828 9142716035 14628345656 18285432070 36570864140 53027753003 73141728280 106055506006 212111012012 265138765015 424222024024 530277530030 1060555060060 2121110120120