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120211201000220 = 225111755195823887
BaseRepresentation
bin11011010101010011011001…
…111011110000001100011100
3120202122002010021201111010212
4123111103121323300030130
5111224020014424001340
61103400132515151552
734214654424105401
oct3325233173601434
9522562107644125
10120211201000220
1135337314079690
121159589bba55b8
13520cb381bab15
1421983789c42a8
15dd6e8111ea65
hex6d54d9ef031c

120211201000220 has 96 divisors (see below), whose sum is σ = 291645401886720. Its totient is φ = 41134339773440.

The previous prime is 120211201000153. The next prime is 120211201000223. The reversal of 120211201000220 is 22000102112021.

120211201000220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120211201000195 and 120211201000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211201000223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17729117 + ... + 23553003.

It is an arithmetic number, because the mean of its divisors is an integer number (3037972936320).

Almost surely, 2120211201000220 is an apocalyptic number.

120211201000220 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 120211201000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145822700943360).

120211201000220 is an abundant number, since it is smaller than the sum of its proper divisors (171434200886500).

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

120211201000220 is a wasteful number, since it uses less digits than its factorization.

120211201000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829443 (or 5829441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120211201000220 its reverse (22000102112021), we get a palindrome (142211303112241).

The spelling of 120211201000220 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 5519 11038 22076 27595 55190 60709 93823 110380 121418 187646 242836 303545 375292 469115 607090 938230 1032053 1214180 1876460 2064106 4128212 5160265 5823887 10320530 11647774 20641060 23295548 29119435 58238870 64062757 99006079 116477740 128125514 198012158 256251028 320313785 396024316 495030395 640627570 990060790 1089066869 1281255140 1980121580 2178133738 4356267476 5445334345 10890668690 21781337380 32142032353 64284064706 128568129412 160710161765 321420323530 353562355883 546414550001 642840647060 707124711766 1092829100002 1414249423532 1767811779415 2185658200004 2732072750005 3535623558830 5464145500010 6010560050011 7071247117660 10928291000020 12021120100022 24042240200044 30052800250055 60105600500110 120211201000220