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12322202000 = 245310161001
BaseRepresentation
bin10110111100111010…
…11110000110010000
31011210202101201101212
423132131132012100
5200213440431000
65354415315252
7614232663113
oct133635360620
934722351355
1012322202000
11525361a819
12247a81bb28
131214b370b4
1484c73057a
154c1bb7c35
hex2de75e190

12322202000 has 80 divisors (see below), whose sum is σ = 30090578544. Its totient is φ = 4880000000.

The previous prime is 12322201967. The next prime is 12322202003. The reversal of 12322202000 is 20222321.

It can be written as a sum of positive squares in 8 ways, for example, as 654745744 + 11667456256 = 25588^2 + 108016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12322202003) 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, 171500 + ... + 232500.

Almost surely, 212322202000 is an apocalyptic number.

12322202000 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 12322202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045289272).

12322202000 is an abundant number, since it is smaller than the sum of its proper divisors (17768376544).

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

12322202000 is a wasteful number, since it uses less digits than its factorization.

12322202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61125 (or 61109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12322202000 its reverse (20222321), we get a palindrome (12342424321).

The spelling of 12322202000 in words is "twelve billion, three hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 61001 101000 122002 202000 244004 305005 488008 610010 976016 1220020 1525025 2440040 3050050 4880080 6100100 6161101 7625125 12200200 12322202 15250250 24400400 24644404 30500500 30805505 49288808 61001000 61611010 98577616 122002000 123222020 154027525 246444040 308055050 492888080 616110100 770137625 1232220200 1540275250 2464440400 3080550500 6161101000 12322202000