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199912320000 = 210335423503
BaseRepresentation
bin1011101000101110110…
…0111110110000000000
3201010000020022002011000
42322023230332300000
511233410023220000
6231501034452000
720305004453121
oct2721354766000
9633006262130
10199912320000
1177867324998
12328b2294000
1315b0c100213
1499665ba048
155300905000
hex2e8bb3ec00

199912320000 has 880 divisors, whose sum is σ = 773518394880. Its totient is φ = 50890752000.

The previous prime is 199912319987. The next prime is 199912320011. The reversal of 199912320000 is 23219991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 397439749 + ... + 397440251.

It is an arithmetic number, because the mean of its divisors is an integer number (878998176).

Almost surely, 2199912320000 is an apocalyptic number.

199912320000 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 199912320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386759197440).

199912320000 is an abundant number, since it is smaller than the sum of its proper divisors (573606074880).

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

199912320000 is an equidigital number, since it uses as much as digits as its factorization.

199912320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

Adding to 199912320000 its reverse (23219991), we get a palindrome (199935539991).

The spelling of 199912320000 in words is "one hundred ninety-nine billion, nine hundred twelve million, three hundred twenty thousand".