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124213332420 = 2232547137107171
BaseRepresentation
bin111001110101110110…
…0010000100111000100
3102212121122022002000100
41303223230100213010
54013342103114140
6133021322444100
711655056622252
oct1635354204704
9385548262010
10124213332420
1148751208131
12200a6963630
13b937080688
146024b4d5d2
15336ed1a530
hex1cebb109c4

124213332420 has 144 divisors (see below), whose sum is σ = 387609401088. Its totient is φ = 32181864960.

The previous prime is 124213332401. The next prime is 124213332431. The reversal of 124213332420 is 24233312421.

124213332420 is a `hidden beast` number, since 1 + 24 + 213 + 3 + 3 + 2 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105435 + ... + 1212605.

It is an arithmetic number, because the mean of its divisors is an integer number (2691731952).

Almost surely, 2124213332420 is an apocalyptic number.

124213332420 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 124213332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193804700544).

124213332420 is an abundant number, since it is smaller than the sum of its proper divisors (263396068668).

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

124213332420 is a wasteful number, since it uses less digits than its factorization.

124213332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107370 (or 107365 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 124213332420 its reverse (24233312421), we get a palindrome (148446644841).

The spelling of 124213332420 in words is "one hundred twenty-four billion, two hundred thirteen million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 137 141 180 188 235 274 282 411 423 470 548 564 685 705 822 846 940 1233 1370 1410 1644 1692 2055 2115 2466 2740 2820 4110 4230 4932 6165 6439 8220 8460 12330 12878 19317 24660 25756 32195 38634 57951 64390 77268 96585 107171 115902 128780 193170 214342 231804 289755 321513 386340 428684 535855 579510 643026 964539 1071710 1159020 1286052 1607565 1929078 2143420 3215130 3858156 4822695 5037037 6430260 9645390 10074074 14682427 15111111 19290780 20148148 25185185 29364854 30222222 44047281 45333333 50370370 58729708 60444444 73412135 75555555 88094562 90666666 100740740 132141843 146824270 151111110 176189124 181333332 220236405 226666665 264283686 293648540 302222220 440472810 453333330 528567372 660709215 690074069 880945620 906666660 1321418430 1380148138 2070222207 2642836860 2760296276 3450370345 4140444414 6210666621 6900740690 8280888828 10351111035 12421333242 13801481380 20702222070 24842666484 31053333105 41404444140 62106666210 124213332420