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132312101222120 = 23553401915529079
BaseRepresentation
bin11110000101011001001111…
…110010101111011011101000
3122100110220122211100221110212
4132011121033302233123220
5114320300140403101440
61145223201251200252
736604143132631151
oct3605311762573350
9570426584327425
10132312101222120
1139182279852626
1212a0ab7aba6088
1358a9c92a60801
142495d22dda928
151046b1c2ec465
hex78564fcaf6e8

132312101222120 has 64 divisors (see below), whose sum is σ = 303394741776000. Its totient is φ = 51913335056128.

The previous prime is 132312101222113. The next prime is 132312101222129. The reversal of 132312101222120 is 21222101213231.

It is not an unprimeable number, because it can be changed into a prime (132312101222129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755741 + ... + 16284819.

It is an arithmetic number, because the mean of its divisors is an integer number (4740542840250).

Almost surely, 2132312101222120 is an apocalyptic number.

132312101222120 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 132312101222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151697370888000).

132312101222120 is an abundant number, since it is smaller than the sum of its proper divisors (171082640553880).

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

132312101222120 is a wasteful number, since it uses less digits than its factorization.

132312101222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15533162 (or 15533158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 132312101222120 its reverse (21222101213231), we get a palindrome (153534202435351).

The spelling of 132312101222120 in words is "one hundred thirty-two trillion, three hundred twelve billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 4019 8038 16076 20095 32152 40190 80380 160760 213007 426014 852028 1065035 1704056 2130070 4260140 8520280 15529079 31058158 62116316 77645395 124232632 155290790 310581580 621163160 823041187 1646082374 3292164748 4115205935 6584329496 8230411870 16460823740 32921647480 62411368501 124822737002 249645474004 312056842505 499290948008 624113685010 1248227370020 2496454740040 3307802530553 6615605061106 13231210122212 16539012652765 26462420244424 33078025305530 66156050611060 132312101222120