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201212102000 = 24537131765033
BaseRepresentation
bin1011101101100100101…
…1010000010101110000
3201020100211001211212002
42323121023100111300
511244040244231000
6232234025353132
720352136435040
oct2733113202560
9636324054762
10201212102000
1178373a93398
1232bb56387a8
1315c8848cbb0
149a4b081720
155379aa08d5
hex2ed92d0570

201212102000 has 320 divisors, whose sum is σ = 634040918784. Its totient is φ = 59933491200.

The previous prime is 201212101939. The next prime is 201212102011. The reversal of 201212102000 is 201212102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3061484 + ... + 3126516.

Almost surely, 2201212102000 is an apocalyptic number.

201212102000 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 201212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317020459392).

201212102000 is an abundant number, since it is smaller than the sum of its proper divisors (432828816784).

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

201212102000 is a wasteful number, since it uses less digits than its factorization.

201212102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65093 (or 65077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201212102000 its reverse (201212102), we get a palindrome (201413314102).

201212102000 divided by its reverse (201212102) gives a cube (1000 = 103).

The spelling of 201212102000 in words is "two hundred one billion, two hundred twelve million, one hundred two thousand".