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120101010002120 = 235733111091168501
BaseRepresentation
bin11011010011101100110010…
…000010011101000011001000
3120202020112200212220210122002
4123103230302002131003020
5111220213332030031440
61103233350423450132
734204003663062230
oct3323546202350310
9522215625823562
10120101010002120
11352a4609134904
12115784692b6948
1352026272690b4
142192cc42c2cc0
15dd418239a115
hex6d3b3209d0c8

120101010002120 has 128 divisors (see below), whose sum is σ = 310043777068800. Its totient is φ = 41016032640000.

The previous prime is 120101010002111. The next prime is 120101010002173. The reversal of 120101010002120 is 21200010101021.

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, 102197870 + ... + 103366370.

It is an arithmetic number, because the mean of its divisors is an integer number (2422217008350).

Almost surely, 2120101010002120 is an apocalyptic number.

120101010002120 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 120101010002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155021888534400).

120101010002120 is an abundant number, since it is smaller than the sum of its proper divisors (189942767066680).

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

120101010002120 is a wasteful number, since it uses less digits than its factorization.

120101010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169959 (or 1169955 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120101010002120 its reverse (21200010101021), we get a palindrome (141301020103141).

The spelling of 120101010002120 in words is "one hundred twenty trillion, one hundred one billion, ten million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 662 1109 1324 1655 2218 2317 2648 3310 4436 4634 5545 6620 7763 8872 9268 11090 11585 13240 15526 18536 22180 23170 31052 38815 44360 46340 62104 77630 92680 155260 310520 367079 734158 1168501 1468316 1835395 2337002 2569553 2936632 3670790 4674004 5139106 5842505 7341580 8179507 9348008 10278212 11685010 12847765 14683160 16359014 20556424 23370020 25695530 32718028 40897535 46740040 51391060 65436056 81795070 102782120 163590140 327180280 386773831 773547662 1295867609 1547095324 1933869155 2591735218 2707416817 3094190648 3867738310 5183470436 5414833634 6479338045 7735476620 9071073263 10366940872 10829667268 12958676090 13537084085 15470953240 18142146526 21659334536 25917352180 27074168170 36284293052 45355366315 51834704360 54148336340 72568586104 90710732630 108296672680 181421465260 362842930520 428932178579 857864357158 1715728714316 2144660892895 3002525250053 3431457428632 4289321785790 6005050500106 8578643571580 12010101000212 15012626250265 17157287143160 24020202000424 30025252500530 60050505001060 120101010002120