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12424202120 = 23511413531951
BaseRepresentation
bin10111001001000101…
…00100011110001000
31012001212022212021002
423210202210132020
5200421043431440
65412501434132
7616611655421
oct134442443610
935055285232
1012424202120
1152a6157a40
1224a8a0b948
13122cccb0b5
1485c0c2648
154cab15115
hex2e48a4788

12424202120 has 128 divisors (see below), whose sum is σ = 31344122880. Its totient is φ = 4392960000.

The previous prime is 12424202107. The next prime is 12424202179. The reversal of 12424202120 is 2120242421.

It is a super-2 number, since 2×124242021202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12424202092 and 12424202101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6367145 + ... + 6369095.

It is an arithmetic number, because the mean of its divisors is an integer number (244875960).

Almost surely, 212424202120 is an apocalyptic number.

12424202120 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 12424202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672061440).

12424202120 is an abundant number, since it is smaller than the sum of its proper divisors (18919920760).

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

12424202120 is a wasteful number, since it uses less digits than its factorization.

12424202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12424202120 its reverse (2120242421), we get a palindrome (14544444541).

The spelling of 12424202120 in words is "twelve billion, four hundred twenty-four million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 353 410 440 451 706 820 902 1412 1640 1765 1804 1951 2255 2824 3530 3608 3883 3902 4510 7060 7766 7804 9020 9755 14120 14473 15532 15608 18040 19415 19510 21461 28946 31064 38830 39020 42922 57892 72365 77660 78040 79991 85844 107305 115784 144730 155320 159203 159982 171688 214610 289460 318406 319964 399955 429220 578920 636812 639928 688703 796015 799910 858440 879901 1273624 1377406 1592030 1599820 1759802 2754812 3184060 3199640 3443515 3519604 4399505 5509624 6368120 6887030 7039208 7575733 8799010 13774060 15151466 17598020 27548120 28236823 30302932 35196040 37878665 56473646 60605864 75757330 112947292 141184115 151514660 225894584 282368230 303029320 310605053 564736460 621210106 1129472920 1242420212 1553025265 2484840424 3106050530 6212101060 12424202120