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12124025004 = 22371390712241
BaseRepresentation
bin10110100101010010…
…11111000010101100
31011021221111021200010
423102221133002230
5144312222300004
65323015533220
7606305340450
oct132251370254
934257437603
1012124025004
115161772483
12242438a210
1311b2a6a7c0
148302a4660
154ae5bda89
hex2d2a5f0ac

12124025004 has 96 divisors (see below), whose sum is σ = 34858948096. Its totient is φ = 3193758720.

The previous prime is 12124025003. The next prime is 12124025027. The reversal of 12124025004 is 40052042121.

12124025004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12124025003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 984324 + ... + 996564.

Almost surely, 212124025004 is an apocalyptic number.

12124025004 is a gapful number since it is divisible by the number (14) 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 12124025004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429474048).

12124025004 is an abundant number, since it is smaller than the sum of its proper divisors (22734923092).

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

12124025004 is a wasteful number, since it uses less digits than its factorization.

12124025004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13175 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12124025004 its reverse (40052042121), we get a palindrome (52176067125).

The spelling of 12124025004 in words is "twelve billion, one hundred twenty-four million, twenty-five thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 907 1092 1814 2721 3628 5442 6349 10884 11791 12241 12698 19047 23582 24482 25396 35373 36723 38094 47164 48964 70746 73446 76188 82537 85687 141492 146892 159133 165074 171374 247611 257061 318266 330148 342748 477399 495222 514122 636532 954798 990444 1028244 1113931 1909596 2227862 3341793 4455724 6683586 11102587 13367172 22205174 33307761 44410348 66615522 77718109 133231044 144333631 155436218 233154327 288667262 310872436 433000893 466308654 577334524 866001786 932617308 1010335417 1732003572 2020670834 3031006251 4041341668 6062012502 12124025004