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132123121120 = 2551943461553
BaseRepresentation
bin111101100001100100…
…1101101010111100000
3110122000212221222021101
41323003021231113200
54131042004333440
6140410241004144
712355063666564
oct1730311552740
9418025858241
10132123121120
115104006a491
1221733923654
13c5c79c9613
1465754536a4
15368444669a
hex1ec326d5e0

132123121120 has 48 divisors (see below), whose sum is σ = 328569348240. Its totient is φ = 50067707904.

The previous prime is 132123121103. The next prime is 132123121129. The reversal of 132123121120 is 21121321231.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21727737 + ... + 21733816.

It is an arithmetic number, because the mean of its divisors is an integer number (6845194755).

Almost surely, 2132123121120 is an apocalyptic number.

132123121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132123121120 is an abundant number, since it is smaller than the sum of its proper divisors (196446227120).

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

132123121120 is a wasteful number, since it uses less digits than its factorization.

132123121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43461587 (or 43461579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 132123121120 its reverse (21121321231), we get a palindrome (153244442351).

The spelling of 132123121120 in words is "one hundred thirty-two billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 43461553 86923106 173846212 217307765 347692424 434615530 695384848 825769507 869231060 1390769696 1651539014 1738462120 3303078028 3476924240 4128847535 6606156056 6953848480 8257695070 13212312112 16515390140 26424624224 33030780280 66061560560 132123121120