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120020100000120 = 233251719611127451
BaseRepresentation
bin11011010010100001011011…
…011011010010100101111000
3120201221210212010110211120100
4123102201123123102211320
5111212402131100000440
61103132250041355400
734165110651313455
oct3322413333224570
9521853763424510
10120020100000120
1135273269594861
1211564848798b60
1351c7b01748178
14218d00a74682c
15dd1ee9076230
hex6d285b6d2978

120020100000120 has 96 divisors (see below), whose sum is σ = 413010344139120. Its totient is φ = 30122691763200.

The previous prime is 120020100000091. The next prime is 120020100000149. The reversal of 120020100000120 is 21000001020021.

It is an interprime number because it is at equal distance from previous prime (120020100000091) and next prime (120020100000149).

It is a super-4 number, since 4×1200201000001204 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9805557606 + ... + 9805569845.

Almost surely, 2120020100000120 is an apocalyptic number.

120020100000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020100000120 is an abundant number, since it is smaller than the sum of its proper divisors (292990244139000).

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

120020100000120 is a wasteful number, since it uses less digits than its factorization.

120020100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19611127485 (or 19611127478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120020100000120 its reverse (21000001020021), we get a palindrome (141020101020141).

The spelling of 120020100000120 in words is "one hundred twenty trillion, twenty billion, one hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 19611127451 39222254902 58833382353 78444509804 98055637255 117666764706 156889019608 176500147059 196111274510 235333529412 294166911765 333389166667 353000294118 392222549020 470667058824 588333823530 666778333334 706000588236 784445098040 882500735295 1000167500001 1176667647060 1333556666668 1412001176472 1666945833335 1765001470590 2000335000002 2353335294120 2667113333336 3000502500003 3333891666670 3530002941180 4000670000004 5000837500005 6001005000006 6667783333340 7060005882360 8001340000008 10001675000010 12002010000012 13335566666680 15002512500015 20003350000020 24004020000024 30005025000030 40006700000040 60010050000060 120020100000120