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121861830784 = 272948767411
BaseRepresentation
bin111000101111110000…
…1111111100010000000
3102122112202112102012011
41301133201333202000
53444033112041114
6131552121542304
711542564320331
oct1613741774200
9378482472164
10121861830784
1147754910151
121b74b344994
13b650b457a5
145c80716288
1532836741c4
hex1c5f87f880

121861830784 has 64 divisors (see below), whose sum is σ = 251662478400. Its totient is φ = 58708177920.

The previous prime is 121861830763. The next prime is 121861830809. The reversal of 121861830784 is 487038168121.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1774039 + ... + 1841449.

It is an arithmetic number, because the mean of its divisors is an integer number (3932226225).

Almost surely, 2121861830784 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 121861830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125831239200).

121861830784 is an abundant number, since it is smaller than the sum of its proper divisors (129800647616).

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

121861830784 is an equidigital number, since it uses as much as digits as its factorization.

121861830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67941 (or 67929 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 121861830784 in words is "one hundred twenty-one billion, eight hundred sixty-one million, eight hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 487 928 974 1856 1948 3712 3896 7792 14123 15584 28246 31168 56492 62336 67411 112984 134822 225968 269644 451936 539288 903872 1078576 1807744 1954919 2157152 3909838 4314304 7819676 8628608 15639352 31278704 32829157 62557408 65658314 125114816 131316628 250229632 262633256 525266512 952045553 1050533024 1904091106 2101066048 3808182212 4202132096 7616364424 15232728848 30465457696 60930915392 121861830784