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1220121212200 = 2352114191323629
BaseRepresentation
bin10001110000010100111…
…001000011010100101000
311022122100100022121002221
4101300110321003110220
5124442302012242300
62332303240003424
7154102512120202
oct21602471032450
94278310277087
101220121212200
114304a5685690
12178574160574
138b098122227
14430a8963772
1521b113eb31a
hex11c14e43528

1220121212200 has 96 divisors (see below), whose sum is σ = 3102059268000. Its totient is φ = 442621203200.

The previous prime is 1220121212183. The next prime is 1220121212203. The reversal of 1220121212200 is 22121210221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1220121212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259986 + ... + 1583614.

It is an arithmetic number, because the mean of its divisors is an integer number (32313117375).

Almost surely, 21220121212200 is an apocalyptic number.

1220121212200 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 1220121212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551029634000).

1220121212200 is an abundant number, since it is smaller than the sum of its proper divisors (1881938055800).

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

1220121212200 is a wasteful number, since it uses less digits than its factorization.

1220121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324075 (or 1324066 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1220121212200 its reverse (22121210221), we get a palindrome (1242242422421).

The spelling of 1220121212200 in words is "one trillion, two hundred twenty 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 88 100 110 200 220 275 419 440 550 838 1100 1676 2095 2200 3352 4190 4609 8380 9218 10475 16760 18436 20950 23045 36872 41900 46090 83800 92180 115225 184360 230450 460900 921800 1323629 2647258 5294516 6618145 10589032 13236290 14559919 26472580 29119838 33090725 52945160 58239676 66181450 72799595 116479352 132362900 145599190 264725800 291198380 363997975 554600551 582396760 727995950 1109201102 1455991900 2218402204 2773002755 2911983800 4436804408 5546005510 6100606061 11092011020 12201212122 13865013775 22184022040 24402424244 27730027550 30503030305 48804848488 55460055100 61006060610 110920110200 122012121220 152515151525 244024242440 305030303050 610060606100 1220121212200