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12022553300 = 2252319374139
BaseRepresentation
bin10110011001001100…
…11001101011010100
31011000212112222122212
423030212121223110
5144110233201200
65304553012552
7603634005542
oct131446315324
934025488585
1012022553300
11510a46626a
1223b63b4158
131197a30184
14820a0cd92
154a5728035
hex2cc999ad4

12022553300 has 72 divisors (see below), whose sum is σ = 26965774080. Its totient is φ = 4647801600.

The previous prime is 12022553299. The next prime is 12022553317. The reversal of 12022553300 is 335522021.

12022553300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 2902631 + ... + 2906769.

It is an arithmetic number, because the mean of its divisors is an integer number (374524640).

Almost surely, 212022553300 is an apocalyptic number.

12022553300 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 12022553300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482887040).

12022553300 is an abundant number, since it is smaller than the sum of its proper divisors (14943220780).

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

12022553300 is a wasteful number, since it uses less digits than its factorization.

12022553300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 12022553300 in words is "twelve billion, twenty-two million, five hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 937 1550 1874 3100 3748 4139 4685 8278 9370 16556 18740 20695 23425 29047 41390 46850 58094 82780 93700 103475 116188 128309 145235 206950 256618 290470 413900 513236 580940 641545 726175 1283090 1452350 2566180 2904700 3207725 3878243 6415450 7756486 12830900 15512972 19391215 38782430 77564860 96956075 120225533 193912150 240451066 387824300 480902132 601127665 1202255330 2404510660 3005638325 6011276650 12022553300