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123112322120 = 23516069191537
BaseRepresentation
bin111001010101000010…
…0001111010001001000
3102202202220112221211002
41302222010033101020
54004113223301440
6132320152154132
711615560320554
oct1625204172110
9382686487732
10123112322120
1148236772867
121ba3a098948
13b7bcc37ba8
145d5c82a864
153308335115
hex1caa10f448

123112322120 has 32 divisors (see below), whose sum is σ = 277021409400. Its totient is φ = 49241607168.

The previous prime is 123112322077. The next prime is 123112322141. The reversal of 123112322120 is 21223211321.

It can be written as a sum of positive squares in 4 ways, for example, as 106770790564 + 16341531556 = 326758^2 + 127834^2 .

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 = 123112322092 and 123112322101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546992 + ... + 738528.

Almost surely, 2123112322120 is an apocalyptic number.

123112322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123112322120 is an abundant number, since it is smaller than the sum of its proper divisors (153909087280).

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

123112322120 is a wasteful number, since it uses less digits than its factorization.

123112322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207617 (or 207613 counting only the distinct ones).

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

Adding to 123112322120 its reverse (21223211321), we get a palindrome (144335533441).

The spelling of 123112322120 in words is "one hundred twenty-three billion, one hundred twelve million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 16069 32138 64276 80345 128552 160690 191537 321380 383074 642760 766148 957685 1532296 1915370 3830740 7661480 3077808053 6155616106 12311232212 15389040265 24622464424 30778080530 61556161060 123112322120