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132122123220 = 22352313725101
BaseRepresentation
bin111101100001100010…
…1111001101111010100
3110122000211002021102010
41323003011321233110
54131041230420340
6140410203344220
712355052342343
oct1730305715724
9418024067363
10132122123220
115103a54877a
1221733522070
13c5c773a349
146575273b5a
1536842eab80
hex1ec3179bd4

132122123220 has 144 divisors (see below), whose sum is σ = 388940888448. Its totient is φ = 33448166400.

The previous prime is 132122123219. The next prime is 132122123257. The reversal of 132122123220 is 22321221231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25898670 + ... + 25903770.

It is an arithmetic number, because the mean of its divisors is an integer number (2700978392).

Almost surely, 2132122123220 is an apocalyptic number.

132122123220 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 132122123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194470444224).

132122123220 is an abundant number, since it is smaller than the sum of its proper divisors (256818765228).

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

132122123220 is a wasteful number, since it uses less digits than its factorization.

132122123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132122123220 its reverse (22321221231), we get a palindrome (154443344451).

The spelling of 132122123220 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 137 138 230 274 276 345 411 460 548 685 690 822 1370 1380 1644 2055 2740 3151 4110 5101 6302 8220 9453 10202 12604 15303 15755 18769 18906 20404 25505 30606 31510 37538 37812 47265 51010 56307 61212 63020 75076 76515 93845 94530 102020 112614 117323 153030 187690 189060 225228 234646 281535 306060 351969 375380 431687 469292 563070 586615 698837 703938 863374 1126140 1173230 1295061 1397674 1407876 1726748 1759845 2096511 2158435 2346460 2590122 2795348 3494185 3519690 4193022 4316870 5180244 6475305 6988370 7039380 8386044 8633740 10482555 12950610 13976740 16073251 20965110 25901220 32146502 41930220 48219753 64293004 80366255 95740669 96439506 160732510 191481338 192879012 241098765 287222007 321465020 382962676 478703345 482197530 574444014 957406690 964395060 1148888028 1436110035 1914813380 2202035387 2872220070 4404070774 5744440140 6606106161 8808141548 11010176935 13212212322 22020353870 26424424644 33030530805 44040707740 66061061610 132122123220