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121304203120 = 24517172151827
BaseRepresentation
bin111000011111001001…
…0110011111101110000
3102121002220020222211201
41300332102303331300
53441412333444440
6131420522020544
711523013466602
oct1607622637560
9377086228751
10121304203120
1147499073241
121b614647754
13b5924644a9
145c2a63d172
15324e72619a
hex1c3e4b3f70

121304203120 has 80 divisors (see below), whose sum is σ = 298801687968. Its totient is φ = 45640048640.

The previous prime is 121304203049. The next prime is 121304203123. The reversal of 121304203120 is 21302403121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121304203123) 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, 2314647 + ... + 2366473.

Almost surely, 2121304203120 is an apocalyptic number.

121304203120 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 121304203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149400843984).

121304203120 is an abundant number, since it is smaller than the sum of its proper divisors (177497484848).

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

121304203120 is a wasteful number, since it uses less digits than its factorization.

121304203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53578 (or 53572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 121304203120 its reverse (21302403121), we get a palindrome (142606606241).

The spelling of 121304203120 in words is "one hundred twenty-one billion, three hundred four million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1721 3442 6884 8605 13768 17210 27536 29257 34420 51827 58514 68840 103654 117028 137680 146285 207308 234056 259135 292570 414616 468112 518270 585140 829232 881059 1036540 1170280 1762118 2073080 2340560 3524236 4146160 4405295 7048472 8810590 14096944 17621180 35242360 70484720 89194267 178388534 356777068 445971335 713554136 891942670 1427108272 1516302539 1783885340 3032605078 3567770680 6065210156 7135541360 7581512695 12130420312 15163025390 24260840624 30326050780 60652101560 121304203120