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210121201200 = 243522315748491
BaseRepresentation
bin1100001110110000110…
…0110001011000110000
3202002100201002222102010
43003230030301120300
511420312011414300
6240310042322520
721115666512141
oct3035414613060
9662321088363
10210121201200
1181125a38499
12348811b9440
1316a78164221
14a254393ac8
1556ebcc3a50
hex30ec331630

210121201200 has 240 divisors, whose sum is σ = 706841116416. Its totient is φ = 53253657600.

The previous prime is 210121201163. The next prime is 210121201201. The reversal of 210121201200 is 2102121012.

It is a tau number, because it is divible by the number of its divisors (240).

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 (210121201201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308955 + ... + 4357445.

Almost surely, 2210121201200 is an apocalyptic number.

210121201200 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 210121201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353420558208).

210121201200 is an abundant number, since it is smaller than the sum of its proper divisors (496719915216).

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

210121201200 is a wasteful number, since it uses less digits than its factorization.

210121201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48692 (or 48681 counting only the distinct ones).

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

Adding to 210121201200 its reverse (2102121012), we get a palindrome (212223322212).

The spelling of 210121201200 in words is "two hundred ten billion, one hundred twenty-one million, two hundred one thousand, two hundred".