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123203200120 = 235711138873469
BaseRepresentation
bin111001010111101111…
…0111010010001111000
3102210000020120000222221
41302233132322101320
54004310004400440
6132333200053424
711621042631160
oct1625736722170
9383006500887
10123203200120
1148282aa3850
121ba64604274
13b805a06660
145d6a9255a0
1533112d6d4a
hex1caf7ba478

123203200120 has 256 divisors, whose sum is σ = 372721305600. Its totient is φ = 35396904960.

The previous prime is 123203200027. The next prime is 123203200123. The reversal of 123203200120 is 21002302321.

It is a junction number, because it is equal to n+sod(n) for n = 123203200094 and 123203200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123203200123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35513746 + ... + 35517214.

It is an arithmetic number, because the mean of its divisors is an integer number (1455942600).

Almost surely, 2123203200120 is an apocalyptic number.

123203200120 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 123203200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186360652800).

123203200120 is an abundant number, since it is smaller than the sum of its proper divisors (249518105480).

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

123203200120 is a wasteful number, since it uses less digits than its factorization.

123203200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123203200120 its reverse (21002302321), we get a palindrome (144205502441).

It can be divided in two parts, 123203 and 200120, that added together give a palindrome (323323).

The spelling of 123203200120 in words is "one hundred twenty-three billion, two hundred three million, two hundred thousand, one hundred twenty".