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2012122122200 = 235271141698741
BaseRepresentation
bin11101010001111011110…
…100110000011111011000
321010100122020202110110222
4131101323310300133120
5230431311230402300
64140204532055212
7265241155562141
oct35217364603730
97110566673428
102012122122200
117063775336a3
12285b67764508
13117985ab6a48
146d55c7baac8
1537517322785
hex1d47bd307d8

2012122122200 has 48 divisors (see below), whose sum is σ = 4744073882160. Its totient is φ = 793512944000.

The previous prime is 2012122122187. The next prime is 2012122122203. The reversal of 2012122122200 is 22212212102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012122122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70835171 + ... + 70863570.

It is an arithmetic number, because the mean of its divisors is an integer number (98834872545).

Almost surely, 22012122122200 is an apocalyptic number.

2012122122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012122122200 is an abundant number, since it is smaller than the sum of its proper divisors (2731951759960).

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

2012122122200 is a wasteful number, since it uses less digits than its factorization.

2012122122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141698828 (or 141698819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2012122122200 its reverse (22212212102), we get a palindrome (2034334334302).

The spelling of 2012122122200 in words is "two trillion, twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 141698741 283397482 566794964 708493705 1133589928 1416987410 2833974820 3542468525 5667949640 7084937050 10060610611 14169874100 20121221222 28339748200 40242442444 50303053055 80484884888 100606106110 201212212220 251515265275 402424424440 503030530550 1006061061100 2012122122200