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12126423504 = 24313198312323
BaseRepresentation
bin10110100101100101…
…01000100111010000
31011022010000010210110
423102302220213100
5144313331023004
65323143201320
7606334620246
oct132262504720
934263003713
1012126423504
115163060508
122425146240
1311b33ca430
1483072a796
154ae8e4589
hex2d2ca89d0

12126423504 has 160 divisors (see below), whose sum is σ = 35942699520. Its totient is φ = 3491956224.

The previous prime is 12126423497. The next prime is 12126423509. The reversal of 12126423504 is 40532462121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126423509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977887 + ... + 990209.

It is an arithmetic number, because the mean of its divisors is an integer number (224641872).

Almost surely, 212126423504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12126423504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971349760).

12126423504 is an abundant number, since it is smaller than the sum of its proper divisors (23816276016).

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

12126423504 is a wasteful number, since it uses less digits than its factorization.

12126423504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12443 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12126423504 its reverse (40532462121), we get a palindrome (52658885625).

The spelling of 12126423504 in words is "twelve billion, one hundred twenty-six million, four hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 83 104 114 152 156 166 208 228 247 249 304 312 332 456 494 498 624 664 741 912 988 996 1079 1328 1482 1577 1976 1992 2158 2964 3154 3237 3952 3984 4316 4731 5928 6308 6474 8632 9462 11856 12323 12616 12948 17264 18924 20501 24646 25232 25896 36969 37848 41002 49292 51792 61503 73938 75696 82004 98584 123006 147876 160199 164008 197168 234137 246012 295752 320398 328016 468274 480597 492024 591504 640796 702411 936548 961194 984048 1022809 1281592 1404822 1873096 1922388 2045618 2563184 2809644 3043781 3068427 3746192 3844776 4091236 5619288 6087562 6136854 7689552 8182472 9131343 11238576 12175124 12273708 13296517 16364944 18262686 19433371 24350248 24547416 26593034 36525372 38866742 39889551 48700496 49094832 53186068 58300113 73050744 77733484 79779102 106372136 116600226 146101488 155466968 159558204 212744272 233200452 252633823 310933936 319116408 466400904 505267646 638232816 757901469 932801808 1010535292 1515802938 2021070584 3031605876 4042141168 6063211752 12126423504