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121732128 = 2532760383
BaseRepresentation
bin1110100000101…
…11110000100000
322111001122002100
413100113300200
5222130412003
620025050400
73005464110
oct720276040
9274048070
10121732128
1162795171
1234926a00
131c2b245b
141224b040
15aa48ba3
hex7417c20

121732128 has 72 divisors (see below), whose sum is σ = 395635968. Its totient is φ = 34780032.

The previous prime is 121732103. The next prime is 121732211. The reversal of 121732128 is 821237121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28176 + ... + 32207.

It is an arithmetic number, because the mean of its divisors is an integer number (5494944).

Almost surely, 2121732128 is an apocalyptic number.

121732128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121732128 is an abundant number, since it is smaller than the sum of its proper divisors (273903840).

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

121732128 is a wasteful number, since it uses less digits than its factorization.

121732128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60406 (or 60395 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 121732128 is about 11033.2283580102. The cubic root of 121732128 is about 495.6043063332.

Adding to 121732128 its reverse (821237121), we get a palindrome (942969249).

The spelling of 121732128 in words is "one hundred twenty-one million, seven hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 60383 120766 181149 241532 362298 422681 483064 543447 724596 845362 966128 1086894 1268043 1449192 1690724 1932256 2173788 2536086 2898384 3381448 3804129 4347576 5072172 5796768 6762896 7608258 8695152 10144344 13525792 15216516 17390304 20288688 30433032 40577376 60866064 121732128