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212012010120000 = 263546799726449
BaseRepresentation
bin110000001101001011100100…
…100011010010001101000000
31000210200011001111212110202010
4300031023210203102031000
5210242101044042320000
62030524550050052520
762441235152553246
oct6015134443221500
91023604044773663
10212012010120000
116160a874631062
121b94142127a140
13913b853c4763c
143a4d6166d6796
151979dbb57dd50
hexc0d2e48d2340

212012010120000 has 560 divisors, whose sum is σ = 712163770894400. Its totient is φ = 55634743296000.

The previous prime is 212012010119947. The next prime is 212012010120049. The reversal of 212012010120000 is 21010210212.

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 79 ways as a sum of consecutive naturals, for example, 8015866776 + ... + 8015893224.

Almost surely, 2212012010120000 is an apocalyptic number.

212012010120000 is a gapful number since it is divisible by the number (20) 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 212012010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356081885447200).

212012010120000 is an abundant number, since it is smaller than the sum of its proper divisors (500151760774400).

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

212012010120000 is an equidigital number, since it uses as much as digits as its factorization.

212012010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27548 (or 27523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212012010120000 its reverse (21010210212), we get a palindrome (212033020330212).

The spelling of 212012010120000 in words is "two hundred twelve trillion, twelve billion, ten million, one hundred twenty thousand".