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212012021122000 = 245311101541317627
BaseRepresentation
bin110000001101001011100101…
…001101010000001111010000
31000210200011002021120102122121
4300031023211031100033100
5210242101104401401000
62030524551121544024
762441235345225121
oct6015134515201720
91023604067512577
10212012021122000
116160a87a866020
121b941424aa5014
13913b8562ca2b8
143a4d617d5c048
151979dbc503b1a
hexc0d2e53503d0

212012021122000 has 320 divisors, whose sum is σ = 564922670277888. Its totient is φ = 76313529600000.

The previous prime is 212012021121959. The next prime is 212012021122007. The reversal of 212012021122000 is 221120210212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012021122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12027677187 + ... + 12027694813.

Almost surely, 2212012021122000 is an apocalyptic number.

212012021122000 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 212012021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282461335138944).

212012021122000 is an abundant number, since it is smaller than the sum of its proper divisors (352910649155888).

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

212012021122000 is a wasteful number, since it uses less digits than its factorization.

212012021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23175 (or 23159 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012021122000 its reverse (221120210212), we get a palindrome (212233141332212).

The spelling of 212012021122000 in words is "two hundred twelve trillion, twelve billion, twenty-one million, one hundred twenty-two thousand".