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20120973120 = 263256986449
BaseRepresentation
bin10010101111010011…
…011010111101000000
31220221021011100011200
4102233103122331000
5312201432114440
613124330141200
71311421310133
oct225723327500
956837140150
1020120973120
118595845a06
123a96581800
131b88782771
14d8c3b621a
157cb6b4c30
hex4af4daf40

20120973120 has 84 divisors (see below), whose sum is σ = 69207773700. Its totient is φ = 5365592064.

The previous prime is 20120973083. The next prime is 20120973143. The reversal of 20120973120 is 2137902102.

It can be written as a sum of positive squares in 2 ways, for example, as 3031163136 + 17089809984 = 55056^2 + 130728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3490345 + ... + 3496104.

Almost surely, 220120973120 is an apocalyptic number.

20120973120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120973120 is an abundant number, since it is smaller than the sum of its proper divisors (49086800580).

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

20120973120 is a wasteful number, since it uses less digits than its factorization.

20120973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986472 (or 6986459 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 20120973120 in words is "twenty billion, one hundred twenty million, nine hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 6986449 13972898 20959347 27945796 34932245 41918694 55891592 62878041 69864490 83837388 104796735 111783184 125756082 139728980 167674776 209593470 223566368 251512164 279457960 314390205 335349552 419186940 447132736 503024328 558915920 628780410 670699104 838373880 1006048656 1117831840 1257560820 1341398208 1676747760 2012097312 2235663680 2515121640 3353495520 4024194624 5030243280 6706991040 10060486560 20120973120