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12245132000 = 255311327091
BaseRepresentation
bin10110110011101110…
…11110001011100000
31011121101101011020102
423121313132023200
5200034223211000
65343023401532
7612305622203
oct133167361340
934541334212
1012245132000
11521406aa02
122458a532a8
131201b9154a
148423cb93a
154ba0423d5
hex2d9dde2e0

12245132000 has 96 divisors (see below), whose sum is σ = 30353660064. Its totient is φ = 4854528000.

The previous prime is 12245131993. The next prime is 12245132021. The reversal of 12245132000 is 23154221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438455 + ... + 465545.

It is an arithmetic number, because the mean of its divisors is an integer number (316183959).

Almost surely, 212245132000 is an apocalyptic number.

12245132000 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 12245132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176830032).

12245132000 is an abundant number, since it is smaller than the sum of its proper divisors (18108528064).

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

12245132000 is a wasteful number, since it uses less digits than its factorization.

12245132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27229 (or 27211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12245132000 its reverse (23154221), we get a palindrome (12268286221).

It can be divided in two parts, 122451 and 32000, that added together give a palindrome (154451).

The spelling of 12245132000 in words is "twelve billion, two hundred forty-five million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 800 904 1000 1130 1808 2000 2260 2825 3616 4000 4520 5650 9040 11300 14125 18080 22600 27091 28250 45200 54182 56500 90400 108364 113000 135455 216728 226000 270910 433456 452000 541820 677275 866912 1083640 1354550 2167280 2709100 3061283 3386375 4334560 5418200 6122566 6772750 10836400 12245132 13545500 15306415 21672800 24490264 27091000 30612830 48980528 54182000 61225660 76532075 97961056 108364000 122451320 153064150 244902640 306128300 382660375 489805280 612256600 765320750 1224513200 1530641500 2449026400 3061283000 6122566000 12245132000