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10200120121120 = 2554310913601611
BaseRepresentation
bin1001010001101110011010…
…0010010101011100100000
31100010010021220112201112011
42110123212202111130200
52314104321222333440
633405512005442304
72101635325325536
oct224334642253440
940103256481464
1010200120121120
113282934989a76
121188a27710394
1358cb37314787
1427398d15c156
1512a4ddbe39ea
hex946e6895720

10200120121120 has 96 divisors (see below), whose sum is σ = 24884421186240. Its totient is φ = 3948601789440.

The previous prime is 10200120121021. The next prime is 10200120121123. The reversal of 10200120121120 is 2112102100201.

It is a self number, because there is not a number n which added to its sum of digits gives 10200120121120.

It is not an unprimeable number, because it can be changed into a prime (10200120121123) 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, 6050886 + ... + 7550725.

It is an arithmetic number, because the mean of its divisors is an integer number (259212720690).

Almost surely, 210200120121120 is an apocalyptic number.

10200120121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200120121120 is an abundant number, since it is smaller than the sum of its proper divisors (14684301065120).

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

10200120121120 is a wasteful number, since it uses less digits than its factorization.

10200120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13601778 (or 13601770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10200120121120 its reverse (2112102100201), we get a palindrome (12312222221321).

The spelling of 10200120121120 in words is "ten trillion, two hundred billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 109 160 172 215 218 344 430 436 545 688 860 872 1090 1376 1720 1744 2180 3440 3488 4360 4687 6880 8720 9374 17440 18748 23435 37496 46870 74992 93740 149984 187480 374960 749920 13601611 27203222 54406444 68008055 108812888 136016110 217625776 272032220 435251552 544064440 584869273 1088128880 1169738546 1482575599 2176257760 2339477092 2924346365 2965151198 4678954184 5848692730 5930302396 7412877995 9357908368 11697385460 11860604792 14825755990 18715816736 23394770920 23721209584 29651511980 46789541840 47442419168 59303023960 63750750757 93579083680 118606047920 127501501514 237212095840 255003003028 318753753785 510006006056 637507507570 1020012012112 1275015015140 2040024024224 2550030030280 5100060060560 10200120121120