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12253322000 = 24537186291
BaseRepresentation
bin10110110100101101…
…01101101100010000
31011121221210020210202
423122112231230100
5200043322301000
65343515114332
7612435342563
oct133226555420
934557706722
1012253322000
1152187541a7
12245b7429a8
13120379b2ba
148435204da
154bab0ddd5
hex2da5adb10

12253322000 has 80 divisors (see below), whose sum is σ = 30046184064. Its totient is φ = 4832240000.

The previous prime is 12253321963. The next prime is 12253322021. The reversal of 12253322000 is 22335221.

12253322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 98855 + ... + 185145.

Almost surely, 212253322000 is an apocalyptic number.

12253322000 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 12253322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023092032).

12253322000 is an abundant number, since it is smaller than the sum of its proper divisors (17792862064).

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

12253322000 is an equidigital number, since it uses as much as digits as its factorization.

12253322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86385 (or 86369 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 12253322000 its reverse (22335221), we get a palindrome (12275657221).

The spelling of 12253322000 in words is "twelve billion, two hundred fifty-three million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 17750 28400 35500 71000 86291 142000 172582 345164 431455 690328 862910 1380656 1725820 2157275 3451640 4314550 6126661 6903280 8629100 10786375 12253322 17258200 21572750 24506644 30633305 34516400 43145500 49013288 61266610 86291000 98026576 122533220 153166525 172582000 245066440 306333050 490132880 612666100 765832625 1225332200 1531665250 2450664400 3063330500 6126661000 12253322000