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12520419252 = 22311312891109
BaseRepresentation
bin10111010100100011…
…00110111110110100
31012022120101012100120
423222101212332310
5201120211404002
65430220011540
7622160544015
oct135221467664
935276335316
1012520419252
1153454a5330
122515090bb0
131246c18b03
1486abab00c
154d42bdcbc
hex2ea466fb4

12520419252 has 144 divisors (see below), whose sum is σ = 33331435200. Its totient is φ = 3627148800.

The previous prime is 12520419251. The next prime is 12520419259. The reversal of 12520419252 is 25291402521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520419251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11289274 + ... + 11290382.

It is an arithmetic number, because the mean of its divisors is an integer number (231468300).

Almost surely, 212520419252 is an apocalyptic number.

12520419252 is a gapful number since it is divisible by the number (12) 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 12520419252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665717600).

12520419252 is an abundant number, since it is smaller than the sum of its proper divisors (20811015948).

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

12520419252 is a wasteful number, since it uses less digits than its factorization.

12520419252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 12520419252 in words is "twelve billion, five hundred twenty million, four hundred nineteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 89 93 124 132 178 186 267 341 356 372 534 682 961 979 1023 1068 1109 1364 1922 1958 2046 2218 2759 2883 2937 3327 3844 3916 4092 4436 5518 5766 5874 6654 8277 10571 11036 11532 11748 12199 13308 16554 21142 24398 30349 31713 33108 34379 36597 42284 48796 60698 63426 68758 73194 85529 91047 98701 103137 121396 126852 137516 146388 171058 182094 197402 206274 256587 296103 342116 364188 378169 394804 412548 513174 592206 756338 940819 1026348 1065749 1085711 1134507 1184412 1512676 1881638 2131498 2171422 2269014 2822457 3059731 3197247 3257133 3763276 4262996 4342844 4538028 5644914 6119462 6394494 6514266 9179193 11289828 11723239 12238924 12788988 13028532 18358386 23446478 33657041 35169717 36716772 46892956 67314082 70339434 94851661 100971123 134628164 140678868 189703322 201942246 284554983 379406644 403884492 569109966 1043368271 1138219932 2086736542 3130104813 4173473084 6260209626 12520419252