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12101349624 = 2337137178041
BaseRepresentation
bin10110100010100101…
…11111000011111000
31011020100211020220020
423101102333003320
5144240421141444
65320445530440
7605611526460
oct132122770370
934210736806
1012101349624
11514a9950a1
122418873a20
1311ab15b710
1482b280ba0
154ac5e0119
hex2d14bf0f8

12101349624 has 128 divisors (see below), whose sum is σ = 37759841280. Its totient is φ = 3146572800.

The previous prime is 12101349599. The next prime is 12101349647. The reversal of 12101349624 is 42694310121.

It is a congruent number.

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, 116044 + ... + 194084.

It is an arithmetic number, because the mean of its divisors is an integer number (294998760).

Almost surely, 212101349624 is an apocalyptic number.

12101349624 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 12101349624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879920640).

12101349624 is an abundant number, since it is smaller than the sum of its proper divisors (25658491656).

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

12101349624 is a wasteful number, since it uses less digits than its factorization.

12101349624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78141 (or 78137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 12101349624 its reverse (42694310121), we get a palindrome (54795659745).

The spelling of 12101349624 in words is "twelve billion, one hundred one million, three hundred forty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 71 78 84 91 104 142 156 168 182 213 273 284 312 364 426 497 546 568 728 852 923 994 1092 1491 1704 1846 1988 2184 2769 2982 3692 3976 5538 5964 6461 7384 11076 11928 12922 19383 22152 25844 38766 51688 77532 78041 155064 156082 234123 312164 468246 546287 624328 936492 1014533 1092574 1638861 1872984 2029066 2185148 3043599 3277722 4058132 4370296 5540911 6087198 6555444 7101731 8116264 11081822 12174396 13110888 14203462 16622733 21305193 22163644 24348792 28406924 33245466 38786377 42610386 44327288 56813848 66490932 72031843 77572754 85220772 116359131 132981864 144063686 155145508 170441544 216095529 232718262 288127372 310291016 432191058 465436524 504222901 576254744 864382116 930873048 1008445802 1512668703 1728764232 2016891604 3025337406 4033783208 6050674812 12101349624