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123132122120 = 2357439757579
BaseRepresentation
bin111001010101100111…
…1110001010000001000
3102202211021210220022102
41302223033301100020
54004133310401440
6132322140412532
711616220524530
oct1625317612010
9382737726272
10123132122120
11482469668a7
121ba44847148
13b7c407b277
145d613024c0
153309e46b15
hex1cab3f1408

123132122120 has 32 divisors (see below), whose sum is σ = 316625457600. Its totient is φ = 42216727488.

The previous prime is 123132122093. The next prime is 123132122123. The reversal of 123132122120 is 21221231321.

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 = 123132122092 and 123132122101.

It is not an unprimeable number, because it can be changed into a prime (123132122123) 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 7 ways as a sum of consecutive naturals, for example, 219878510 + ... + 219879069.

It is an arithmetic number, because the mean of its divisors is an integer number (9894545550).

Almost surely, 2123132122120 is an apocalyptic number.

123132122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123132122120 is an abundant number, since it is smaller than the sum of its proper divisors (193493335480).

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

123132122120 is a wasteful number, since it uses less digits than its factorization.

123132122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439757597 (or 439757593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123132122120 its reverse (21221231321), we get a palindrome (144353353441).

The spelling of 123132122120 in words is "one hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 439757579 879515158 1759030316 2198787895 3078303053 3518060632 4397575790 6156606106 8795151580 12313212212 15391515265 17590303160 24626424424 30783030530 61566061060 123132122120