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120121212200 = 235211236138917
BaseRepresentation
bin110111111011111001…
…0000011110100101000
3102111001110020211101012
41233313302003310220
53432002012242300
6131103302243052
711451500312513
oct1576762036450
9374043224335
10120121212200
1146a413246a0
121b344426488
13b434346c72
145b57499d7a
1531d094a435
hex1bf7c83d28

120121212200 has 192 divisors, whose sum is σ = 323137710720. Its totient is φ = 41095296000.

The previous prime is 120121212199. The next prime is 120121212217. The reversal of 120121212200 is 2212121021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3067142 + ... + 3106058.

It is an arithmetic number, because the mean of its divisors is an integer number (1683008910).

Almost surely, 2120121212200 is an apocalyptic number.

120121212200 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 120121212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568855360).

120121212200 is an abundant number, since it is smaller than the sum of its proper divisors (203016498520).

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

120121212200 is a wasteful number, since it uses less digits than its factorization.

120121212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39028 (or 39019 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120121212200 its reverse (2212121021), we get a palindrome (122333333221).

The spelling of 120121212200 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".