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123200130000 = 2435412913181
BaseRepresentation
bin111001010111101001…
…1001100101111010000
3102210000000210001120210
41302233103030233100
54004303213130000
6132333010204120
711621004553323
oct1625723145720
9383000701523
10123200130000
1148281297162
121ba63583640
13b8051a010c
145d6a3667ba
153310dcc350
hex1caf4ccbd0

123200130000 has 200 divisors, whose sum is σ = 398139629536. Its totient is φ = 32817600000.

The previous prime is 123200129953. The next prime is 123200130013. The reversal of 123200130000 is 31002321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38728410 + ... + 38731590.

Almost surely, 2123200130000 is an apocalyptic number.

123200130000 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 123200130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199069814768).

123200130000 is an abundant number, since it is smaller than the sum of its proper divisors (274939499536).

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

123200130000 is a wasteful number, since it uses less digits than its factorization.

123200130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 123200130000 its reverse (31002321), we get a palindrome (123231132321).

The spelling of 123200130000 in words is "one hundred twenty-three billion, two hundred million, one hundred thirty thousand".