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132112120112 = 24741211136351
BaseRepresentation
bin111101100001001111…
…1101111100100110000
3110122000010021001201122
41323002133233210300
54131031200320422
6140405205121412
712354601330640
oct1730237574460
9418003231648
10132112120112
1151034936245
12217300b9268
13c5c564724b
146573bcc520
1536834c1d42
hex1ec27ef930

132112120112 has 80 divisors (see below), whose sum is σ = 301091395584. Its totient is φ = 54976320000.

The previous prime is 132112120109. The next prime is 132112120181. The reversal of 132112120112 is 211021211231.

It is a happy number.

It is a super-2 number, since 2×1321121201122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900737 + ... + 1037087.

Almost surely, 2132112120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132112120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150545697792).

132112120112 is an abundant number, since it is smaller than the sum of its proper divisors (168979275472).

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

132112120112 is a wasteful number, since it uses less digits than its factorization.

132112120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136618 (or 136612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 132112120112 its reverse (211021211231), we get a palindrome (343133331343).

The spelling of 132112120112 in words is "one hundred thirty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 211 287 328 422 574 656 844 1148 1477 1688 2296 2954 3376 4592 5908 8651 11816 17302 23632 34604 60557 69208 121114 136351 138416 242228 272702 484456 545404 954457 968912 1090808 1908914 2181616 3817828 5590391 7635656 11180782 15271312 22361564 28770061 39132737 44723128 57540122 78265474 89446256 115080244 156530948 201390427 230160488 313061896 402780854 460320976 626123792 805561708 1179572501 1611123416 2359145002 3222246832 4718290004 8257007507 9436580008 16514015014 18873160016 33028030028 66056060056 132112120112