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132112001200 = 24521073086729
BaseRepresentation
bin111101100001001111…
…1010010100010110000
3110122000010001000121111
41323002133102202300
54131031133014300
6140405202403104
712354600324154
oct1730237224260
9418003030544
10132112001200
1151034864973
1221730060494
13c5c560509a
146573b9b064
15368349b9ba
hex1ec27d28b0

132112001200 has 60 divisors (see below), whose sum is σ = 320365533240. Its totient is φ = 52350906880.

The previous prime is 132112001143. The next prime is 132112001207. The reversal of 132112001200 is 2100211231.

It is a super-2 number, since 2×1321120012002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132112001207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500565 + ... + 1586164.

It is an arithmetic number, because the mean of its divisors is an integer number (5339425554).

Almost surely, 2132112001200 is an apocalyptic number.

132112001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112001200 is an abundant number, since it is smaller than the sum of its proper divisors (188253532040).

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

132112001200 is a wasteful number, since it uses less digits than its factorization.

132112001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086854 (or 3086843 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 132112001200 its reverse (2100211231), we get a palindrome (134212212431).

The spelling of 132112001200 in words is "one hundred thirty-two billion, one hundred twelve million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1712 2140 2675 4280 5350 8560 10700 21400 42800 3086729 6173458 12346916 15433645 24693832 30867290 49387664 61734580 77168225 123469160 154336450 246938320 308672900 330280003 617345800 660560006 1234691600 1321120012 1651400015 2642240024 3302800030 5284480048 6605600060 8257000075 13211200120 16514000150 26422400240 33028000300 66056000600 132112001200