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2001121212200 = 235211909600551
BaseRepresentation
bin11101000111101100000…
…111100111011100101000
321002022020120121022221212
4131013230013213130220
5230241244012242300
64131145152252252
7264401435436215
oct35075407473450
97068216538855
102001121212200
11701741834140
122839b7541088
13116921931146
146cbd7750b0c
15370c1653935
hex1d1ec1e7728

2001121212200 has 48 divisors (see below), whose sum is σ = 5075571080160. Its totient is φ = 727680440000.

The previous prime is 2001121212191. The next prime is 2001121212247. The reversal of 2001121212200 is 22121211002.

It is a super-2 number, since 2×20011212122002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454798076 + ... + 454802475.

It is an arithmetic number, because the mean of its divisors is an integer number (105741064170).

Almost surely, 22001121212200 is an apocalyptic number.

2001121212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001121212200 is an abundant number, since it is smaller than the sum of its proper divisors (3074449867960).

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

2001121212200 is a wasteful number, since it uses less digits than its factorization.

2001121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909600578 (or 909600569 counting only the distinct ones).

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

Adding to 2001121212200 its reverse (22121211002), we get a palindrome (2023242423202).

The spelling of 2001121212200 in words is "two trillion, one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 909600551 1819201102 3638402204 4548002755 7276804408 9096005510 10005606061 18192011020 20011212122 22740013775 36384022040 40022424244 45480027550 50028030305 80044848488 90960055100 100056060610 181920110200 200112121220 250140151525 400224242440 500280303050 1000560606100 2001121212200