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12245255000 = 235411673323
BaseRepresentation
bin10110110011101111…
…11100001101011000
31011121101121101221222
423121313330031120
5200034241130000
65343030151212
7612306643616
oct133167741530
934541541858
1012245255000
115214144360
122458ab2508
131201c05524
148424206b6
154ba068a85
hex2d9dfc358

12245255000 has 160 divisors (see below), whose sum is σ = 31775578560. Its totient is φ = 4385040000.

The previous prime is 12245254997. The next prime is 12245255003. The reversal of 12245255000 is 55254221.

It is an interprime number because it is at equal distance from previous prime (12245254997) and next prime (12245255003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245255003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3683339 + ... + 3686661.

It is an arithmetic number, because the mean of its divisors is an integer number (198597366).

Almost surely, 212245255000 is an apocalyptic number.

12245255000 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 12245255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15887789280).

12245255000 is an abundant number, since it is smaller than the sum of its proper divisors (19530323560).

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

12245255000 is a wasteful number, since it uses less digits than its factorization.

12245255000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 12245255000 in words is "twelve billion, two hundred forty-five million, two hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 125 134 200 220 250 268 275 335 440 500 536 550 625 670 737 1000 1100 1250 1340 1375 1474 1675 2200 2500 2680 2750 2948 3323 3350 3685 5000 5500 5896 6646 6700 6875 7370 8375 11000 13292 13400 13750 14740 16615 16750 18425 26584 27500 29480 33230 33500 36553 36850 41875 55000 66460 67000 73106 73700 83075 83750 92125 132920 146212 147400 166150 167500 182765 184250 222641 292424 332300 335000 365530 368500 415375 445282 460625 664600 731060 737000 830750 890564 913825 921250 1113205 1462120 1661500 1781128 1827650 1842500 2076875 2226410 2449051 3323000 3655300 3685000 4153750 4452820 4569125 4898102 5566025 7310600 8307500 8905640 9138250 9796204 11132050 12245255 16615000 18276500 19592408 22264100 22845625 24490510 27830125 36553000 44528200 45691250 48981020 55660250 61226275 91382500 97962040 111320500 122452550 139150625 182765000 222641000 244905100 278301250 306131375 489810200 556602500 612262750 1113205000 1224525500 1530656875 2449051000 3061313750 6122627500 12245255000