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12253450000 = 24551122279
BaseRepresentation
bin10110110100101110…
…01100111100010000
31011121222000202101111
423122113030330100
5200043340400000
65343521543104
7612436415011
oct133227147420
934558022344
1012253450000
115218831390
12245b7a4a94
13120381463c
14843555008
154bab36cba
hex2da5ccf10

12253450000 has 120 divisors (see below), whose sum is σ = 32373552960. Its totient is φ = 4455600000.

The previous prime is 12253449997. The next prime is 12253450003. The reversal of 12253450000 is 5435221.

12253450000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12253449997) and next prime (12253450003).

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

It is not an unprimeable number, because it can be changed into a prime (12253450003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 538861 + ... + 561139.

It is an arithmetic number, because the mean of its divisors is an integer number (269779608).

Almost surely, 212253450000 is an apocalyptic number.

12253450000 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 12253450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186776480).

12253450000 is an abundant number, since it is smaller than the sum of its proper divisors (20120102960).

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

12253450000 is an equidigital number, since it uses as much as digits as its factorization.

12253450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22323 (or 22297 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 12253450000 its reverse (5435221), we get a palindrome (12258885221).

The spelling of 12253450000 in words is "twelve billion, two hundred fifty-three million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 4400 5000 5500 6250 6875 10000 11000 12500 13750 22000 22279 25000 27500 34375 44558 50000 55000 68750 89116 110000 111395 137500 178232 222790 245069 275000 356464 445580 490138 550000 556975 891160 980276 1113950 1225345 1782320 1960552 2227900 2450690 2784875 3921104 4455800 4901380 5569750 6126725 8911600 9802760 11139500 12253450 13924375 19605520 22279000 24506900 27848750 30633625 44558000 49013800 55697500 61267250 69621875 98027600 111395000 122534500 139243750 153168125 222790000 245069000 278487500 306336250 490138000 556975000 612672500 765840625 1113950000 1225345000 1531681250 2450690000 3063362500 6126725000 12253450000