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121825580208 = 24379317101347
BaseRepresentation
bin111000101110101011…
…1101101010010110000
3102122110020022200202020
41301131113231102300
53443444322031313
6131544344551440
711541644226453
oct1613527552260
9378406280666
10121825580208
11477364005a2
121b73b182580
13b646492747
145c7999b49a
1532803b3323
hex1c5d5ed4b0

121825580208 has 80 divisors (see below), whose sum is σ = 319708346880. Its totient is φ = 39967619328.

The previous prime is 121825580203. The next prime is 121825580221. The reversal of 121825580208 is 802085528121.

It is a self number, because there is not a number n which added to its sum of digits gives 121825580208.

It is not an unprimeable number, because it can be changed into a prime (121825580203) 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, 1151391 + ... + 1252737.

It is an arithmetic number, because the mean of its divisors is an integer number (3996354336).

Almost surely, 2121825580208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121825580208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159854173440).

121825580208 is an abundant number, since it is smaller than the sum of its proper divisors (197882766672).

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

121825580208 is a wasteful number, since it uses less digits than its factorization.

121825580208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101754 (or 101748 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The spelling of 121825580208 in words is "one hundred twenty-one billion, eight hundred twenty-five million, five hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 317 474 632 634 948 951 1264 1268 1896 1902 2536 3792 3804 5072 7608 15216 25043 50086 75129 100172 101347 150258 200344 202694 300516 304041 400688 405388 601032 608082 810776 1202064 1216164 1621552 2432328 4864656 8006413 16012826 24019239 32025652 32126999 48038478 64051304 64253998 96076956 96380997 128102608 128507996 192153912 192761994 257015992 384307824 385523988 514031984 771047976 1542095952 2538032921 5076065842 7614098763 10152131684 15228197526 20304263368 30456395052 40608526736 60912790104 121825580208