Search a number
-
+
120021022012220 = 2257193124988047
BaseRepresentation
bin11011010010100010010010…
…011000011111001100111100
3120201221220020101101220101122
4123102202102120133030330
5111212411023113342340
61103132521335330112
734165142545301420
oct3322422230371474
9521856211356348
10120021022012220
11352736a1a9112a
1211564a65520938
1351c7c1a77aa64
14218d096d92b80
15dd204ee9edb5
hex6d289261f33c

120021022012220 has 96 divisors (see below), whose sum is σ = 304050925086720. Its totient is φ = 38984271499584.

The previous prime is 120021022012211. The next prime is 120021022012223. The reversal of 120021022012220 is 22210220120021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021022012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61533764 + ... + 63454283.

It is an arithmetic number, because the mean of its divisors is an integer number (3167197136320).

Almost surely, 2120021022012220 is an apocalyptic number.

120021022012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021022012220 is an abundant number, since it is smaller than the sum of its proper divisors (184029903074500).

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

120021022012220 is a wasteful number, since it uses less digits than its factorization.

120021022012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124988120 (or 124988080 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120021022012220 its reverse (22210220120021), we get a palindrome (142231242132241).

The spelling of 120021022012220 in words is "one hundred twenty trillion, twenty-one billion, twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1444 1805 2527 2660 3610 5054 6859 7220 10108 12635 13718 25270 27436 34295 48013 50540 68590 96026 137180 192052 240065 480130 960260 124988047 249976094 499952188 624940235 874916329 1249880470 1749832658 2374772893 2499760940 3499665316 4374581645 4749545786 8749163290 9499091572 11873864465 16623410251 17498326580 23747728930 33246820502 45120684967 47495457860 66493641004 83117051255 90241369934 166234102510 180482739868 225603424835 315844794769 332468205020 451206849670 631689589538 857293014373 902413699340 1263379179076 1579223973845 1714586028746 3158447947690 3429172057492 4286465071865 6001051100611 6316895895380 8572930143730 12002102201222 17145860287460 24004204402444 30005255503055 60010511006110 120021022012220