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121312200120 = 233516710875569
BaseRepresentation
bin111000011111011000…
…1010100010110111000
3102121010110022021122220
41300332301110112320
53441421410400440
6131421405244040
711523141454506
oct1607661242670
9377113267586
10121312200120
11474a2635531
121b617263620
13b594004447
145c2b721676
1532502a58d0
hex1c3ec545b8

121312200120 has 128 divisors (see below), whose sum is σ = 366518476800. Its totient is φ = 32120856576.

The previous prime is 121312200101. The next prime is 121312200143. The reversal of 121312200120 is 21002213121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121312200120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21780696 + ... + 21786264.

It is an arithmetic number, because the mean of its divisors is an integer number (2863425600).

Almost surely, 2121312200120 is an apocalyptic number.

121312200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121312200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183259238400).

121312200120 is an abundant number, since it is smaller than the sum of its proper divisors (245206276680).

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

121312200120 is a wasteful number, since it uses less digits than its factorization.

121312200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121312200120 its reverse (21002213121), we get a palindrome (142314413241).

The spelling of 121312200120 in words is "one hundred twenty-one billion, three hundred twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1087 1336 1670 2004 2174 2505 3261 3340 4008 4348 5010 5435 5569 6522 6680 8696 10020 10870 11138 13044 16305 16707 20040 21740 22276 26088 27845 32610 33414 43480 44552 55690 65220 66828 83535 111380 130440 133656 167070 181529 222760 334140 363058 544587 668280 726116 907645 930023 1089174 1452232 1815290 1860046 2178348 2722935 2790069 3630580 3720092 4356696 4650115 5445870 5580138 6053503 7261160 7440184 9300230 10891740 11160276 12107006 13950345 18160509 18600460 21783480 22320552 24214012 27900690 30267515 36321018 37200920 48428024 55801380 60535030 72642036 90802545 111602760 121070060 145284072 181605090 242140120 363210180 726420360 1010935001 2021870002 3032805003 4043740004 5054675005 6065610006 8087480008 10109350010 12131220012 15164025015 20218700020 24262440024 30328050030 40437400040 60656100060 121312200120