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123200233332 = 2231123293759641
BaseRepresentation
bin111001010111101001…
…1100101111101110100
3102210000000222022022220
41302233103211331310
54004303224431312
6132333012322340
711621005463511
oct1625723457564
9383000868286
10123200233332
1148281357860
121ba636133b0
13b805208167
145d6a392308
153310decc8c
hex1caf4e5f74

123200233332 has 384 divisors, whose sum is σ = 354112819200. Its totient is φ = 32926924800.

The previous prime is 123200233319. The next prime is 123200233337. The reversal of 123200233332 is 233332002321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200233337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192199732 + ... + 192200372.

It is an arithmetic number, because the mean of its divisors is an integer number (922168800).

Almost surely, 2123200233332 is an apocalyptic number.

123200233332 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 123200233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177056409600).

123200233332 is an abundant number, since it is smaller than the sum of its proper divisors (230912585868).

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

123200233332 is a wasteful number, since it uses less digits than its factorization.

123200233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 123200233332 its reverse (233332002321), we get a palindrome (356532235653).

The spelling of 123200233332 in words is "one hundred twenty-three billion, two hundred million, two hundred thirty-three thousand, three hundred thirty-two".