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12227197940 = 22531411373511
BaseRepresentation
bin10110110001100110…
…00011101111110100
31011120010122000022222
423120303003233310
5200020130313230
65341143141512
7612000316256
oct133063035764
934503560288
1012227197940
115204a30871
122452a44898
1311cb252589
1483dc7dcd6
154b869d6e5
hex2d8cc3bf4

12227197940 has 96 divisors (see below), whose sum is σ = 27357861888. Its totient is φ = 4582656000.

The previous prime is 12227197849. The next prime is 12227197951. The reversal of 12227197940 is 4979172221.

It is a junction number, because it is equal to n+sod(n) for n = 12227197891 and 12227197900.

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 31 ways as a sum of consecutive naturals, for example, 3480785 + ... + 3484295.

It is an arithmetic number, because the mean of its divisors is an integer number (284977728).

Almost surely, 212227197940 is an apocalyptic number.

12227197940 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 12227197940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13678930944).

12227197940 is an abundant number, since it is smaller than the sum of its proper divisors (15130663948).

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

12227197940 is a wasteful number, since it uses less digits than its factorization.

12227197940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 12227197940 in words is "twelve billion, two hundred twenty-seven million, one hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 137 155 164 205 274 310 410 548 620 685 820 1271 1370 2542 2740 3511 4247 5084 5617 6355 7022 8494 11234 12710 14044 16988 17555 21235 22468 25420 28085 35110 42470 56170 70220 84940 108841 112340 143951 174127 217682 287902 348254 435364 481007 544205 575804 696508 719755 870635 962014 1088410 1439510 1741270 1924028 2176820 2405035 2879020 3482540 4462481 4810070 8924962 9620140 14911217 17849924 19721287 22312405 29822434 39442574 44624810 59644868 74556085 78885148 89249620 98606435 149112170 197212870 298224340 394425740 611359897 1222719794 2445439588 3056799485 6113598970 12227197940