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132120021312 = 2632288779451
BaseRepresentation
bin111101100001011110…
…1111000100101000000
3110122000200010111010200
41323002331320211000
54131040211140222
6140410050325200
712355025436336
oct1730275704500
9418020114120
10132120021312
1151039342564
1221732889800
13c5c7182706
146574c87b56
153684032eac
hex1ec2f78940

132120021312 has 84 divisors (see below), whose sum is σ = 378834127776. Its totient is φ = 44024198400.

The previous prime is 132120021281. The next prime is 132120021331. The reversal of 132120021312 is 213120021231.

132120021312 is a `hidden beast` number, since 132 + 1 + 200 + 21 + 312 = 666.

It is a super-3 number, since 3×1321200213123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1623187 + ... + 1702637.

Almost surely, 2132120021312 is an apocalyptic number.

132120021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132120021312 is an abundant number, since it is smaller than the sum of its proper divisors (246714106464).

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

132120021312 is a wasteful number, since it uses less digits than its factorization.

132120021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82356 (or 82343 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132120021312 its reverse (213120021231), we get a palindrome (345240042543).

The spelling of 132120021312 in words is "one hundred thirty-two billion, one hundred twenty million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2887 5774 8661 11548 17322 23096 25983 34644 46192 51966 69288 79451 92384 103932 138576 158902 184768 207864 238353 277152 317804 415728 476706 554304 635608 715059 831456 953412 1271216 1430118 1662912 1906824 2542432 2860236 3813648 5084864 5720472 7627296 11440944 15254592 22881888 45763776 229375037 458750074 688125111 917500148 1376250222 1835000296 2064375333 2752500444 3670000592 4128750666 5505000888 7340001184 8257501332 11010001776 14680002368 16515002664 22020003552 33030005328 44040007104 66060010656 132120021312