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212200132132120 = 23511826958323017
BaseRepresentation
bin110000001111111010110001…
…011111110011110100011000
31000211100010122001121212001111
4300033322301133303310120
5210303141332311211440
62031151221145430104
762460645043355056
oct6017726137636430
91024303561555044
10212200132132120
11616826305a7150
121b971982a9b334
139153504481a02
143a5878107b1d6
15197ec2bd344ea
hexc0feb17f3d18

212200132132120 has 64 divisors (see below), whose sum is σ = 520917867568800. Its totient is φ = 77154351406080.

The previous prime is 212200132132103. The next prime is 212200132132127. The reversal of 212200132132120 is 21231231002212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212200132132091 and 212200132132100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200132132127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25523149 + ... + 32799868.

Almost surely, 2212200132132120 is an apocalyptic number.

212200132132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200132132120 is an abundant number, since it is smaller than the sum of its proper divisors (308717735436680).

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

212200132132120 is a wasteful number, since it uses less digits than its factorization.

212200132132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58331308 (or 58331304 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212200132132120 its reverse (21231231002212), we get a palindrome (233431363134332).

The spelling of 212200132132120 in words is "two hundred twelve trillion, two hundred billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 8269 16538 33076 41345 66152 82690 90959 165380 181918 330760 363836 454795 727672 909590 1819180 3638360 58323017 116646034 233292068 291615085 466584136 583230170 641553187 1166460340 1283106374 2332920680 2566212748 3207765935 5132425496 6415531870 12831063740 25662127480 482273027573 964546055146 1929092110292 2411365137865 3858184220584 4822730275730 5305003303303 9645460551460 10610006606606 19290921102920 21220013213212 26525016516515 42440026426424 53050033033030 106100066066060 212200132132120