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123201233020200 = 233523716348769911
BaseRepresentation
bin11100000000110100000101…
…101110101110010100101000
3121011012220220202110220121210
4130000310011232232110220
5112122012111123121300
61114005510510233120
734643665255661316
oct3400640556562450
9534186822426553
10123201233020200
113628a393210445
12119992837b57a0
135398a98861a9a
14225cd85ad10b6
15e39b306cd050
hex700d05bae528

123201233020200 has 384 divisors, whose sum is σ = 395468536965120. Its totient is φ = 31703927731200.

The previous prime is 123201233020157. The next prime is 123201233020211. The reversal of 123201233020200 is 2020332102321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1762223245 + ... + 1762293155.

It is an arithmetic number, because the mean of its divisors is an integer number (1029865981680).

Almost surely, 2123201233020200 is an apocalyptic number.

123201233020200 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 123201233020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197734268482560).

123201233020200 is an abundant number, since it is smaller than the sum of its proper divisors (272267303944920).

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

123201233020200 is a wasteful number, since it uses less digits than its factorization.

123201233020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70617 (or 70608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123201233020200 its reverse (2020332102321), we get a palindrome (125221565122521).

The spelling of 123201233020200 in words is "one hundred twenty-three trillion, two hundred one billion, two hundred thirty-three million, twenty thousand, two hundred".