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210012222121200 = 243252298324236281
BaseRepresentation
bin101111110000000101000111…
…111001011110010011110000
31000112120222020211221101202100
4233300011013321132103300
5210011320012330334300
62022354141041020400
762143611433205412
oct5760050771362360
91015528224841670
10210012222121200
1160a0975741a984
121b679938324700
1390250b55acc85
1439c09080709b2
151942d76ecb700
hexbf0147e5e4f0

210012222121200 has 360 divisors, whose sum is σ = 763015354985520. Its totient is φ = 53420638924800.

The previous prime is 210012222121153. The next prime is 210012222121201. The reversal of 210012222121200 is 2121222210012.

It is a happy number.

210012222121200 is a `hidden beast` number, since 2 + 100 + 122 + 221 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012222121201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3452941 + ... + 20783340.

It is an arithmetic number, because the mean of its divisors is an integer number (2119487097182).

Almost surely, 2210012222121200 is an apocalyptic number.

210012222121200 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 210012222121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381507677492760).

210012222121200 is an abundant number, since it is smaller than the sum of its proper divisors (553003132864320).

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

210012222121200 is a wasteful number, since it uses less digits than its factorization.

210012222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24236417 (or 24236403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210012222121200 its reverse (2121222210012), we get a palindrome (212133444331212).

The spelling of 210012222121200 in words is "two hundred ten trillion, twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".