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121320323332120 = 2351110117411568053
BaseRepresentation
bin11011100101011100010110…
…110001101011100000011000
3120220120002221221001201201001
4123211130112301223200120
5111400203010233111440
61110005442004034344
734361050465266643
oct3345342661534030
9526502857051631
10121320323332120
1135724729785650
12117348369929b4
1352905c3ba8803
1421d5d13828a5a
15e05c478b3b9a
hex6e5716c6b818

121320323332120 has 128 divisors (see below), whose sum is σ = 300907555490880. Its totient is φ = 43654567680000.

The previous prime is 121320323332111. The next prime is 121320323332133. The reversal of 121320323332120 is 21233323023121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76586014 + ... + 78154066.

Almost surely, 2121320323332120 is an apocalyptic number.

121320323332120 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 121320323332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150453777745440).

121320323332120 is an abundant number, since it is smaller than the sum of its proper divisors (179587232158760).

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

121320323332120 is a wasteful number, since it uses less digits than its factorization.

121320323332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569917 (or 1569913 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 121320323332120 its reverse (21233323023121), we get a palindrome (142553646355241).

The spelling of 121320323332120 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 1741 2020 2222 3482 4040 4444 5555 6964 8705 8888 11110 13928 17410 19151 22220 34820 38302 44440 69640 76604 95755 153208 175841 191510 351682 383020 703364 766040 879205 1406728 1568053 1758410 1934251 3136106 3516820 3868502 6272212 7033640 7737004 7840265 9671255 12544424 15474008 15680530 17248583 19342510 31361060 34497166 38685020 62722120 68994332 77370040 86242915 137988664 158373353 172485830 316746706 344971660 633493412 689943320 791866765 1266986824 1583733530 1742106883 2729980273 3167467060 3484213766 5459960546 6334934120 6968427532 8710534415 10919921092 13649901365 13936855064 17421068830 21839842184 27299802730 30029783003 34842137660 54599605460 60059566006 69684275320 109199210920 120119132012 150148915015 240238264024 275728007573 300297830030 551456015146 600595660060 1102912030292 1201191320120 1378640037865 2205824060584 2757280075730 3033008083303 5514560151460 6066016166606 11029120302920 12132032333212 15165040416515 24264064666424 30330080833030 60660161666060 121320323332120