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132221122322120 = 23513277212792591
BaseRepresentation
bin11110000100000100100001…
…000001110001111011001000
3122100011012211100111221222222
4132010010201001301323020
5114312302324303301440
61145113313421433212
736564442446013556
oct3604044101617310
9570135740457888
10132221122322120
113914773260a477
12129b540a40b808
1358a15241ab380
1424917720c4bd6
15104459505b2b5
hex784121071ec8

132221122322120 has 192 divisors, whose sum is σ = 321918337843200. Its totient is φ = 48587068615680.

The previous prime is 132221122322059. The next prime is 132221122322137. The reversal of 132221122322120 is 21223221122231.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 132221122322120.

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, 51030922025 + ... + 51030924615.

It is an arithmetic number, because the mean of its divisors is an integer number (1676658009600).

Almost surely, 2132221122322120 is an apocalyptic number.

132221122322120 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 132221122322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160959168921600).

132221122322120 is an abundant number, since it is smaller than the sum of its proper divisors (189697215521080).

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

132221122322120 is a wasteful number, since it uses less digits than its factorization.

132221122322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 132221122322120 its reverse (21223221122231), we get a palindrome (153444343444351).

The spelling of 132221122322120 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty".