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132512400101200 = 24527420111265379
BaseRepresentation
bin11110001000010011110010…
…100010010100111101010000
3122101012001200000001020222211
4132020103302202110331100
5114332040343411214300
61145455204535241504
736624463543205560
oct3610236242247520
9571161600036884
10132512400101200
113924a2142a2029
1212a4195a819294
1358c2b33c774c2
1424a18c4a7cda0
15104be41b0d4ba
hex7884f2894f50

132512400101200 has 120 divisors (see below), whose sum is σ = 363927830530880. Its totient is φ = 45422004096000.

The previous prime is 132512400101177. The next prime is 132512400101201. The reversal of 132512400101200 is 2101004215231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132512400101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6130111 + ... + 17395489.

Almost surely, 2132512400101200 is an apocalyptic number.

132512400101200 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 132512400101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181963915265440).

132512400101200 is an abundant number, since it is smaller than the sum of its proper divisors (231415430429680).

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

132512400101200 is a wasteful number, since it uses less digits than its factorization.

132512400101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269605 (or 11269594 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 132512400101200 its reverse (2101004215231), we get a palindrome (134613404316431).

The spelling of 132512400101200 in words is "one hundred thirty-two trillion, five hundred twelve billion, four hundred million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4201 8402 16804 21005 29407 33608 42010 58814 67216 84020 105025 117628 147035 168040 210050 235256 294070 336080 420100 470512 588140 735175 840200 1176280 1470350 1680400 2352560 2940700 5881400 11265379 11762800 22530758 45061516 56326895 78857653 90123032 112653790 157715306 180246064 225307580 281634475 315430612 394288265 450615160 563268950 630861224 788576530 901230320 1126537900 1261722448 1577153060 1971441325 2253075800 3154306120 3942882650 4506151600 6308612240 7885765300 15771530600 31543061200 47325857179 94651714358 189303428716 236629285895 331281000253 378606857432 473258571790 662562000506 757213714864 946517143580 1183146429475 1325124001012 1656405001265 1893034287160 2366292858950 2650248002024 3312810002530 3786068574320 4732585717900 5300496004048 6625620005060 8282025006325 9465171435800 13251240010120 16564050012650 18930342871600 26502480020240 33128100025300 66256200050600 132512400101200