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12002230210300 = 225211236119014091
BaseRepresentation
bin1010111010100111110010…
…1010110000111011111100
31120111101212001121112011221
42232221330222300323330
53033121031413212200
641305425355123124
72346063311334241
oct256517452607374
946441761545157
1012002230210300
113908132068910
12141a1427434a4
13690a6176ab55
142d6ca7c815c8
1515c313b0891a
hexaea7cab0efc

12002230210300 has 288 divisors, whose sum is σ = 30157132819968. Its totient is φ = 4103088000000.

The previous prime is 12002230210259. The next prime is 12002230210339. The reversal of 12002230210300 is 301203220021.

It is a congruent 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, 2933811255 + ... + 2933815345.

It is an arithmetic number, because the mean of its divisors is an integer number (104712266736).

Almost surely, 212002230210300 is an apocalyptic number.

12002230210300 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 12002230210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078566409984).

12002230210300 is an abundant number, since it is smaller than the sum of its proper divisors (18154902609668).

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

12002230210300 is a wasteful number, since it uses less digits than its factorization.

12002230210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101 (or 6094 counting only the distinct ones).

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

Adding to 12002230210300 its reverse (301203220021), we get a palindrome (12303433430321).

The spelling of 12002230210300 in words is "twelve trillion, two billion, two hundred thirty million, two hundred ten thousand, three hundred".