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123210212000 = 2553192955903
BaseRepresentation
bin111001010111111100…
…1101010001010100000
3102210000201202021111012
41302233321222022200
54004313303241000
6132334010240052
711621156344031
oct1625771521240
9383021667435
10123210212000
1148286a52997
121ba66a26028
13b8072c00b5
145d6b82ca88
153311c1e735
hex1cafe6a2a0

123210212000 has 192 divisors, whose sum is σ = 329654707200. Its totient is φ = 45079372800.

The previous prime is 123210211963. The next prime is 123210212003. The reversal of 123210212000 is 212012321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123210212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176049 + ... + 2231951.

It is an arithmetic number, because the mean of its divisors is an integer number (1716951600).

Almost surely, 2123210212000 is an apocalyptic number.

123210212000 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 123210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164827353600).

123210212000 is an abundant number, since it is smaller than the sum of its proper divisors (206444495200).

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

123210212000 is a wasteful number, since it uses less digits than its factorization.

123210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55976 (or 55958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 123210212000 its reverse (212012321), we get a palindrome (123422224321).

The spelling of 123210212000 in words is "one hundred twenty-three billion, two hundred ten million, two hundred twelve thousand".