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20120013120 = 2635151138797
BaseRepresentation
bin10010101111001111…
…110000100101000000
31220221012100120022010
4102233033300211000
5312201210404440
613124253412520
71311410201244
oct225717604500
956835316263
1020120013120
11859524a719
123a9619a140
131b8850780c
14d8c206424
157cb575580
hex4af3f0940

20120013120 has 112 divisors (see below), whose sum is σ = 64304558208. Its totient is φ = 5329766400.

The previous prime is 20120013091. The next prime is 20120013127. The reversal of 20120013120 is 2131002102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20120013096 and 20120013105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120013127) 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, 75562 + ... + 214358.

Almost surely, 220120013120 is an apocalyptic number.

20120013120 is a gapful number since it is divisible by the number (20) 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 20120013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32152279104).

20120013120 is an abundant number, since it is smaller than the sum of its proper divisors (44184545088).

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

20120013120 is a wasteful number, since it uses less digits than its factorization.

20120013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138968 (or 138958 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20120013120 its reverse (2131002102), we get a palindrome (22251015222).

The spelling of 20120013120 in words is "twenty billion, one hundred twenty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 151 160 192 240 302 320 453 480 604 755 906 960 1208 1510 1812 2265 2416 3020 3624 4530 4832 6040 7248 9060 9664 12080 14496 18120 24160 28992 36240 48320 72480 138797 144960 277594 416391 555188 693985 832782 1110376 1387970 1665564 2081955 2220752 2775940 3331128 4163910 4441504 5551880 6662256 8327820 8883008 11103760 13324512 16655640 20958347 22207520 26649024 33311280 41916694 44415040 62875041 66622560 83833388 104791735 125750082 133245120 167666776 209583470 251500164 314375205 335333552 419166940 503000328 628750410 670667104 838333880 1006000656 1257500820 1341334208 1676667760 2012001312 2515001640 3353335520 4024002624 5030003280 6706671040 10060006560 20120013120