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132122011200 = 2635227525419
BaseRepresentation
bin111101100001100010…
…1011110011001000000
3110122000210212120202020
41323003011132121000
54131041213324300
6140410201121440
712355051364634
oct1730305363100
9418023776666
10132122011200
115103a4815a3
1221733489280
13c5c76cb36a
146575244dc4
1536842c78a0
hex1ec315e640

132122011200 has 84 divisors (see below), whose sum is σ = 433470314160. Its totient is φ = 35232535040.

The previous prime is 132122011171. The next prime is 132122011223. The reversal of 132122011200 is 2110221231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132122011200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13757910 + ... + 13767509.

Almost surely, 2132122011200 is an apocalyptic number.

132122011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122011200 is an abundant number, since it is smaller than the sum of its proper divisors (301348302960).

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

132122011200 is a wasteful number, since it uses less digits than its factorization.

132122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27525444 (or 27525429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132122011200 its reverse (2110221231), we get a palindrome (134232232431).

The spelling of 132122011200 in words is "one hundred thirty-two billion, one hundred twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 27525419 55050838 82576257 110101676 137627095 165152514 220203352 275254190 330305028 412881285 440406704 550508380 660610056 688135475 825762570 880813408 1101016760 1321220112 1376270950 1651525140 1761626816 2064406425 2202033520 2642440224 2752541900 3303050280 4128812850 4404067040 5284880448 5505083800 6606100560 8257625700 8808134080 11010167600 13212201120 16515251400 22020335200 26424402240 33030502800 44040670400 66061005600 132122011200