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12332123120 = 245154151539
BaseRepresentation
bin10110111110000110…
…10100001111110000
31011211110001202121202
423133003110033300
5200224010414440
65355412110332
7614413213502
oct133703241760
934743052552
1012332123120
115259186699
1224820053a8
131216bcba95
1484db93d72
154c29c7615
hex2df0d43f0

12332123120 has 20 divisors (see below), whose sum is σ = 28672186440. Its totient is φ = 4932849216.

The previous prime is 12332123107. The next prime is 12332123159. The reversal of 12332123120 is 2132123321.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12332123092 and 12332123101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77075690 + ... + 77075849.

It is an arithmetic number, because the mean of its divisors is an integer number (1433609322).

Almost surely, 212332123120 is an apocalyptic number.

12332123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332123120 is an abundant number, since it is smaller than the sum of its proper divisors (16340063320).

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

12332123120 is a wasteful number, since it uses less digits than its factorization.

12332123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154151552 (or 154151546 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12332123120 its reverse (2132123321), we get a palindrome (14464246441).

The spelling of 12332123120 in words is "twelve billion, three hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 154151539 308303078 616606156 770757695 1233212312 1541515390 2466424624 3083030780 6166061560 12332123120