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12225708400 = 2452436071171
BaseRepresentation
bin10110110001011010…
…11000000101110000
31011120000211100001211
423120231120011300
5200014240132100
65341051205504
7611651543503
oct133055300560
934500740054
1012225708400
115204103744
122452446894
1311cab505a9
1483d9b313a
154b84a71ba
hex2d8b58170

12225708400 has 120 divisors (see below), whose sum is σ = 30130563584. Its totient is φ = 4764614400.

The previous prime is 12225708377. The next prime is 12225708401. The reversal of 12225708400 is 480752221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225708401) 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, 10439815 + ... + 10440985.

Almost surely, 212225708400 is an apocalyptic number.

12225708400 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 12225708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065281792).

12225708400 is an abundant number, since it is smaller than the sum of its proper divisors (17904855184).

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

12225708400 is a wasteful number, since it uses less digits than its factorization.

12225708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 12225708400 in words is "twelve billion, two hundred twenty-five million, seven hundred eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 607 688 860 1075 1171 1214 1720 2150 2342 2428 3035 3440 4300 4684 4856 5855 6070 8600 9368 9712 11710 12140 15175 17200 18736 23420 24280 26101 29275 30350 46840 48560 50353 52202 58550 60700 93680 100706 104404 117100 121400 130505 201412 208808 234200 242800 251765 261010 402824 417616 468400 503530 522020 652525 710797 805648 1007060 1044040 1258825 1305050 1421594 2014120 2088080 2517650 2610100 2843188 3553985 4028240 5035300 5220200 5686376 7107970 10070600 10440400 11372752 14215940 17769925 20141200 28431880 30564271 35539850 56863760 61128542 71079700 122257084 142159400 152821355 244514168 284318800 305642710 489028336 611285420 764106775 1222570840 1528213550 2445141680 3056427100 6112854200 12225708400