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12021242200 = 23521110154101
BaseRepresentation
bin10110011001000010…
…11001100101011000
31011000210002101011121
423030201121211120
5144104414222300
65304504535024
7603616605232
oct131441314530
934023071147
1012021242200
115109750210
1223b5a81474
131197691486
1482078b252
154a556981a
hex2cc859958

12021242200 has 96 divisors (see below), whose sum is σ = 30792694320. Its totient is φ = 4328000000.

The previous prime is 12021242171. The next prime is 12021242201. The reversal of 12021242200 is 224212021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021242201) 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, 195150 + ... + 249250.

Almost surely, 212021242200 is an apocalyptic number.

12021242200 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 12021242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396347160).

12021242200 is an abundant number, since it is smaller than the sum of its proper divisors (18771452120).

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

12021242200 is a wasteful number, since it uses less digits than its factorization.

12021242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54229 (or 54220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12021242200 its reverse (224212021), we get a palindrome (12245454221).

The spelling of 12021242200 in words is "twelve billion, twenty-one million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 54101 55550 108202 111100 216404 222200 270505 432808 541010 595111 1082020 1190222 1352525 2164040 2380444 2705050 2975555 4760888 5410100 5464201 5951110 10820200 10928402 11902220 14877775 21856804 23804440 27321005 29755550 43713608 54642010 59511100 60106211 109284020 119022200 120212422 136605025 218568040 240424844 273210050 300531055 480849688 546420100 601062110 1092840200 1202124220 1502655275 2404248440 3005310550 6010621100 12021242200