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121340030304 = 25329199219019
BaseRepresentation
bin111000100000001101…
…1011110110101100000
3102121012101200012111110
41301000123132311200
53442001021432204
6131424241543320
711523630145203
oct1610033366540
9377171605443
10121340030304
1147507313789
121b624644b40
13b5999c98cc
145c312c793a
153252951889
hex1c406ded60

121340030304 has 96 divisors (see below), whose sum is σ = 331158240000. Its totient is φ = 38855545344.

The previous prime is 121340030299. The next prime is 121340030311. The reversal of 121340030304 is 403030043121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444507 + ... + 663525.

It is an arithmetic number, because the mean of its divisors is an integer number (3449565000).

Almost surely, 2121340030304 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 121340030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165579120000).

121340030304 is an abundant number, since it is smaller than the sum of its proper divisors (209818209696).

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

121340030304 is a wasteful number, since it uses less digits than its factorization.

121340030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219260 (or 219252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 121340030304 its reverse (403030043121), we get a palindrome (524370073425).

The spelling of 121340030304 in words is "one hundred twenty-one billion, three hundred forty million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 199 232 348 398 464 597 696 796 928 1194 1392 1592 2388 2784 3184 4776 5771 6368 9552 11542 17313 19104 23084 34626 46168 69252 92336 138504 184672 219019 277008 438038 554016 657057 876076 1314114 1752152 2628228 3504304 5256456 6351551 7008608 10512912 12703102 19054653 21025824 25406204 38109306 43584781 50812408 76218612 87169562 101624816 130754343 152437224 174339124 203249632 261508686 304874448 348678248 523017372 609748896 697356496 1046034744 1263958649 1394712992 2092069488 2527917298 3791875947 4184138976 5055834596 7583751894 10111669192 15167503788 20223338384 30335007576 40446676768 60670015152 121340030304