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123112034232 = 2331159101139563
BaseRepresentation
bin111001010101000001…
…1001000111110111000
3102202202220000022220120
41302222003020332320
54004113140043412
6132320142053240
711615555011335
oct1625203107670
9382686008816
10123112034232
1148236596540
121ba39b7a220
13b7bcb66b45
145d5c79398c
1533082c9b8c
hex1caa0c8fb8

123112034232 has 256 divisors, whose sum is σ = 347929344000. Its totient is φ = 35985984000.

The previous prime is 123112034207. The next prime is 123112034261. The reversal of 123112034232 is 232430211321.

It is a super-2 number, since 2×1231120342322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218671183 + ... + 218671745.

It is an arithmetic number, because the mean of its divisors is an integer number (1359099000).

Almost surely, 2123112034232 is an apocalyptic number.

123112034232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123112034232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173964672000).

123112034232 is an abundant number, since it is smaller than the sum of its proper divisors (224817309768).

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

123112034232 is a wasteful number, since it uses less digits than its factorization.

123112034232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123112034232 its reverse (232430211321), we get a palindrome (355542245553).

The spelling of 123112034232 in words is "one hundred twenty-three billion, one hundred twelve million, thirty-four thousand, two hundred thirty-two".