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12232969600 = 275237103319
BaseRepresentation
bin10110110010010010…
…00100110110000000
31011120112111020120011
423121021010312000
5200023120011400
65341510554304
7612100345255
oct133111046600
934515436504
1012232969600
115208213135
122454968994
1311cc4c3667
1484094342c
154b8e3d8ba
hex2d9244d80

12232969600 has 96 divisors (see below), whose sum is σ = 31036294800. Its totient is φ = 4760893440.

The previous prime is 12232969597. The next prime is 12232969601. The reversal of 12232969600 is 696923221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232969601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66741 + ... + 170059.

Almost surely, 212232969600 is an apocalyptic number.

12232969600 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 12232969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518147400).

12232969600 is an abundant number, since it is smaller than the sum of its proper divisors (18803325200).

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

12232969600 is a wasteful number, since it uses less digits than its factorization.

12232969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103380 (or 103363 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 12232969600 in words is "twelve billion, two hundred thirty-two million, nine hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 148 160 185 200 296 320 370 400 592 640 740 800 925 1184 1480 1600 1850 2368 2960 3200 3700 4736 5920 7400 11840 14800 23680 29600 59200 103319 118400 206638 413276 516595 826552 1033190 1653104 2066380 2582975 3306208 3822803 4132760 5165950 6612416 7645606 8265520 10331900 13224832 15291212 16531040 19114015 20663800 30582424 33062080 38228030 41327600 61164848 66124160 76456060 82655200 95570075 122329696 152912120 165310400 191140150 244659392 305824240 330620800 382280300 489318784 611648480 764560600 1223296960 1529121200 2446593920 3058242400 6116484800 12232969600