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121204941024 = 25310915977253
BaseRepresentation
bin111000011100001100…
…0001010000011100000
3102120211222110221211210
41300320120022003200
53441211431103044
6131403014310120
711520366666666
oct1607030120340
9376758427753
10121204941024
1147448036152
121b5a7358340
13b577a1b81b
145c1b3a0c36
153245b6a1b9
hex1c3860a0e0

121204941024 has 96 divisors (see below), whose sum is σ = 321327246240. Its totient is φ = 40000407552.

The previous prime is 121204941023. The next prime is 121204941049. The reversal of 121204941024 is 420149402121.

It is a Cunningham number, because it is equal to 3481452-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 121204940982 and 121204941000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121204941023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16707382 + ... + 16714634.

It is an arithmetic number, because the mean of its divisors is an integer number (3347158815).

Almost surely, 2121204941024 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 121204941024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160663623120).

121204941024 is an abundant number, since it is smaller than the sum of its proper divisors (200122305216).

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

121204941024 is a wasteful number, since it uses less digits than its factorization.

121204941024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 121204941024 in words is "one hundred twenty-one billion, two hundred four million, nine hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1597 1744 2616 3194 3488 4791 5232 6388 7253 9582 10464 12776 14506 19164 21759 25552 29012 38328 43518 51104 58024 76656 87036 116048 153312 174072 174073 232096 348144 348146 522219 696288 696292 790577 1044438 1392584 1581154 2088876 2371731 2785168 3162308 4177752 4743462 5570336 6324616 8355504 9486924 11583041 12649232 16711008 18973848 23166082 25298464 34749123 37947696 46332164 69498246 75895392 92664328 138996492 185328656 277992984 370657312 555985968 1111971936 1262551469 2525102938 3787654407 5050205876 7575308814 10100411752 15150617628 20200823504 30301235256 40401647008 60602470512 121204941024