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123113112000 = 263532329697
BaseRepresentation
bin111001010101000011…
…1010000000111000000
3102202202222001002022220
41302222013100013000
54004113424041000
6132320221131040
711615600120454
oct1625207200700
9382688032286
10123113112000
114823716225a
121ba3a3b9a80
13b7c0153588
145d5c994664
15330843e1a0
hex1caa1d01c0

123113112000 has 336 divisors, whose sum is σ = 425006548512. Its totient is φ = 31399526400.

The previous prime is 123113111983. The next prime is 123113112007. The reversal of 123113112000 is 211311321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113112007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12691152 + ... + 12700848.

It is an arithmetic number, because the mean of its divisors is an integer number (1264900442).

Almost surely, 2123113112000 is an apocalyptic number.

123113112000 is a gapful number since it is divisible by the number (10) 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 123113112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212503274256).

123113112000 is an abundant number, since it is smaller than the sum of its proper divisors (301893436512).

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

123113112000 is an equidigital number, since it uses as much as digits as its factorization.

123113112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9773 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123113112000 its reverse (211311321), we get a palindrome (123324423321).

The spelling of 123113112000 in words is "one hundred twenty-three billion, one hundred thirteen million, one hundred twelve thousand".