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121000012200 = 2332523137103569
BaseRepresentation
bin111000010110000101…
…0011010100110101000
3102120022200212111100100
41300230022122212220
53440302000342300
6131330414105400
711512331063604
oct1605412324650
9376280774310
10121000012200
1147352397091
121b54a7ab260
13b544429c72
145bdc098504
153232b8a700
hex1c2c29a9a8

121000012200 has 576 divisors, whose sum is σ = 435750681600. Its totient is φ = 30034022400.

The previous prime is 121000012193. The next prime is 121000012201. The reversal of 121000012200 is 2210000121.

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

It is not an unprimeable number, because it can be changed into a prime (121000012201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212653516 + ... + 212654084.

It is an arithmetic number, because the mean of its divisors is an integer number (756511600).

Almost surely, 2121000012200 is an apocalyptic number.

121000012200 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 121000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217875340800).

121000012200 is an abundant number, since it is smaller than the sum of its proper divisors (314750669400).

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

121000012200 is a wasteful number, since it uses less digits than its factorization.

121000012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

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

Adding to 121000012200 its reverse (2210000121), we get a palindrome (123210012321).

The spelling of 121000012200 in words is "one hundred twenty-one billion, twelve thousand, two hundred".