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120980924160 = 2835175917911
BaseRepresentation
bin111000010101100000…
…1100110011100000000
3102120021100221201110220
41300223001212130000
53440232104033120
6131324453023040
711512006613415
oct1605301463400
9376240851426
10120980924160
1147342639a48
121b544324a80
13b5404a5975
145bd972a10c
153231169b40
hex1c2b066700

120980924160 has 144 divisors (see below), whose sum is σ = 386624071680. Its totient is φ = 32241438720.

The previous prime is 120980924149. The next prime is 120980924161. The reversal of 120980924160 is 61429089021.

120980924160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120980924161) 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, 6745605 + ... + 6763515.

Almost surely, 2120980924160 is an apocalyptic number.

120980924160 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 120980924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193312035840).

120980924160 is an abundant number, since it is smaller than the sum of its proper divisors (265643147520).

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

120980924160 is a wasteful number, since it uses less digits than its factorization.

120980924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19694 (or 19680 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 120980924160 in words is "one hundred twenty billion, nine hundred eighty million, nine hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1759 1920 3518 3840 5277 7036 8795 10554 14072 17590 17911 21108 26385 28144 35180 35822 42216 52770 53733 56288 70360 71644 84432 89555 105540 107466 112576 140720 143288 168864 179110 211080 214932 225152 268665 281440 286576 337728 358220 422160 429864 450304 537330 562880 573152 675456 716440 844320 859728 1074660 1125760 1146304 1350912 1432880 1688640 1719456 2149320 2251520 2292608 2865760 3377280 3438912 4298640 4585216 5731520 6754560 6877824 8597280 11463040 13755648 17194560 22926080 31505449 34389120 63010898 68778240 94516347 126021796 157527245 189032694 252043592 315054490 378065388 472581735 504087184 630108980 756130776 945163470 1008174368 1260217960 1512261552 1890326940 2016348736 2520435920 3024523104 3780653880 4032697472 5040871840 6049046208 7561307760 8065394944 10081743680 12098092416 15122615520 20163487360 24196184832 30245231040 40326974720 60490462080 120980924160