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120022111002120 = 233511326933286739
BaseRepresentation
bin11011010010100011010011…
…010010101001111000001000
3120201222000001021112022200220
4123102203103102221320020
5111212420240404031440
61103133221400230040
734165211540460165
oct3322432322517010
9521860037468626
10120022111002120
1135274100766388
121156510a16b320
1351c8062275192
14218d15b86706c
15dd20b58ad8d0
hex6d28d34a9e08

120022111002120 has 128 divisors (see below), whose sum is σ = 363387759062400. Its totient is φ = 31710868926464.

The previous prime is 120022111002061. The next prime is 120022111002193. The reversal of 120022111002120 is 21200111220021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120022111002120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34873711 + ... + 38160449.

It is an arithmetic number, because the mean of its divisors is an integer number (2838966867675).

Almost surely, 2120022111002120 is an apocalyptic number.

120022111002120 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 120022111002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181693879531200).

120022111002120 is an abundant number, since it is smaller than the sum of its proper divisors (243365648060280).

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

120022111002120 is a wasteful number, since it uses less digits than its factorization.

120022111002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289559 (or 3289555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120022111002120 its reverse (21200111220021), we get a palindrome (141222222222141).

The spelling of 120022111002120 in words is "one hundred twenty trillion, twenty-two billion, one hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2693 2712 3390 4520 5386 6780 8079 10772 13465 13560 16158 21544 26930 32316 40395 53860 64632 80790 107720 161580 304309 323160 608618 912927 1217236 1521545 1825854 2434472 3043090 3286739 3651708 4564635 6086180 6573478 7303416 9129270 9860217 12172360 13146956 16433695 18258540 19720434 26293912 32867390 36517080 39440868 49301085 65734780 78881736 98602170 131469560 197204340 371401507 394408680 742803014 1114204521 1485606028 1857007535 2228409042 2971212056 3714015070 4456818084 5571022605 7428030140 8851188127 8913636168 11142045210 14856060280 17702376254 22284090420 26553564381 35404752508 44255940635 44568180840 53107128762 70809505016 88511881270 106214257524 132767821905 177023762540 212428515048 265535643810 354047525080 531071287620 1000184258351 1062142575240 2000368516702 3000552775053 4000737033404 5000921291755 6001105550106 8001474066808 10001842583510 12002211100212 15002763875265 20003685167020 24004422200424 30005527750530 40007370334040 60011055501060 120022111002120