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210121012200 = 233521153600689
BaseRepresentation
bin1100001110110000110…
…0000011001111101000
3202002100200202101011010
43003230030003033220
511420311434342300
6240310034303520
721115665064131
oct3035414031750
9662320671133
10210121012200
11811259194a0
1234881127ba0
1316a780c91a8
14a254344c88
1556ebc87a50
hex30ec3033e8

210121012200 has 192 divisors, whose sum is σ = 723999643200. Its totient is φ = 49977241600.

The previous prime is 210121012169. The next prime is 210121012207. The reversal of 210121012200 is 2210121012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (210121012207) 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, 49456 + ... + 650144.

It is an arithmetic number, because the mean of its divisors is an integer number (3770831475).

Almost surely, 2210121012200 is an apocalyptic number.

210121012200 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 210121012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361999821600).

210121012200 is an abundant number, since it is smaller than the sum of its proper divisors (513878631000).

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

210121012200 is a wasteful number, since it uses less digits than its factorization.

210121012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600772 (or 600763 counting only the distinct ones).

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

Adding to 210121012200 its reverse (2210121012), we get a palindrome (212331133212).

The spelling of 210121012200 in words is "two hundred ten billion, one hundred twenty-one million, twelve thousand, two hundred".