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12101020200 = 233252193773131
BaseRepresentation
bin10110100010100011…
…01110101000101000
31011020100012112000100
423101101232220220
5144240330121300
65320434505400
7605605655163
oct132121565050
934210175010
1012101020200
11514a78a645
122418735260
1311ab0747a9
1482b1d6ada
154ac577700
hex2d146ea28

12101020200 has 576 divisors, whose sum is σ = 44876145600. Its totient is φ = 2911334400.

The previous prime is 12101020157. The next prime is 12101020213. The reversal of 12101020200 is 202010121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92374135 + ... + 92374265.

It is an arithmetic number, because the mean of its divisors is an integer number (77909975).

Almost surely, 212101020200 is an apocalyptic number.

12101020200 is a gapful number since it is divisible by the number (10) 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 12101020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438072800).

12101020200 is an abundant number, since it is smaller than the sum of its proper divisors (32775125400).

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

12101020200 is a wasteful number, since it uses less digits than its factorization.

12101020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12101020200 its reverse (202010121), we get a palindrome (12303030321).

The spelling of 12101020200 in words is "twelve billion, one hundred one million, twenty thousand, two hundred".