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121302432432 = 2432842378003
BaseRepresentation
bin111000011111000110…
…0000011101010110000
3102121002202221000220200
41300332030003222300
53441411410314212
6131420420035200
711522662443336
oct1607614035260
9377082830820
10121302432432
1147498073965
121b613b32b00
13b591c9454c
145c2a2dbb56
15324e4c66dc
hex1c3e303ab0

121302432432 has 30 divisors (see below), whose sum is σ = 339478335612. Its totient is φ = 40434144096.

The previous prime is 121302432397. The next prime is 121302432439. The reversal of 121302432432 is 234234203121.

121302432432 is a `hidden beast` number, since 1 + 2 + 1 + 302 + 4 + 324 + 32 = 666.

It is a super-2 number, since 2×1213024324322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121302432396 and 121302432405.

It is not an unprimeable number, because it can be changed into a prime (121302432439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421188858 + ... + 421189145.

Almost surely, 2121302432432 is an apocalyptic number.

121302432432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121302432432 is an abundant number, since it is smaller than the sum of its proper divisors (218175903180).

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

121302432432 is a wasteful number, since it uses less digits than its factorization.

121302432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842378017 (or 842378008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 121302432432 its reverse (234234203121), we get a palindrome (355536635553).

It can be divided in two parts, 1213024 and 32432, that added together give a square (1245456 = 11162).

The spelling of 121302432432 in words is "one hundred twenty-one billion, three hundred two million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 842378003 1684756006 2527134009 3369512012 5054268018 6739024024 7581402027 10108536036 13478048048 15162804054 20217072072 30325608108 40434144144 60651216216 121302432432