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20210122012200 = 233521719507101573
BaseRepresentation
bin1001001100001100010010…
…01001001011011000101000
32122120001212011002200112220
410212012021021023120220
510122110312213342300
6110552222450034040
74154063443452351
oct446061111133050
978501764080486
1020210122012200
116492078aa987a
122324a34b78920
13b37a63670133
144dc264782d28
15250aa1c69da0
hex12618924b628

20210122012200 has 192 divisors, whose sum is σ = 66340807220160. Its totient is φ = 5072034385920.

The previous prime is 20210122012159. The next prime is 20210122012207. The reversal of 20210122012200 is 221022101202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20210122012200.

It is not an unprimeable number, because it can be changed into a prime (20210122012207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198920614 + ... + 199022186.

It is an arithmetic number, because the mean of its divisors is an integer number (345525037605).

Almost surely, 220210122012200 is an apocalyptic number.

20210122012200 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 20210122012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33170403610080).

20210122012200 is an abundant number, since it is smaller than the sum of its proper divisors (46130685207960).

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

20210122012200 is a wasteful number, since it uses less digits than its factorization.

20210122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121116 (or 121107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20210122012200 its reverse (221022101202), we get a palindrome (20431144113402).

The spelling of 20210122012200 in words is "twenty trillion, two hundred ten billion, one hundred twenty-two million, twelve thousand, two hundred".