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12124100000 = 2555313911
BaseRepresentation
bin10110100101010011…
…10001010110100000
31011021221122002112202
423102221301112200
5144312232200000
65323021312332
7606306102215
oct132251612640
934257562482
1012124100000
115161813861
1224244056a8
1311b2a9598c
148302c3b0c
154ae5d5dd5
hex2d2a715a0

12124100000 has 144 divisors (see below), whose sum is σ = 30805028352. Its totient is φ = 4692000000.

The previous prime is 12124099997. The next prime is 12124100011. The reversal of 12124100000 is 142121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3098045 + ... + 3101955.

It is an arithmetic number, because the mean of its divisors is an integer number (213923808).

Almost surely, 212124100000 is an apocalyptic number.

12124100000 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 12124100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402514176).

12124100000 is an abundant number, since it is smaller than the sum of its proper divisors (18680928352).

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

12124100000 is an frugal number, since it uses more digits than its factorization.

12124100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12124100000 its reverse (142121), we get a palindrome (12124242121).

The spelling of 12124100000 in words is "twelve billion, one hundred twenty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3125 3875 3911 4000 4960 5000 6200 6250 7750 7822 10000 12400 12500 15500 15644 19375 19555 20000 24800 25000 31000 31288 38750 39110 50000 62000 62576 77500 78220 96875 97775 100000 121241 124000 125152 155000 156440 193750 195550 242482 310000 312880 387500 391100 484964 488875 606205 620000 625760 775000 782200 969928 977750 1212410 1550000 1564400 1939856 1955500 2424820 2444375 3031025 3100000 3128800 3879712 3911000 4849640 4888750 6062050 7822000 9699280 9777500 12124100 12221875 15155125 15644000 19398560 19555000 24248200 24443750 30310250 39110000 48496400 48887500 60620500 75775625 78220000 96992800 97775000 121241000 151551250 195550000 242482000 303102500 378878125 391100000 484964000 606205000 757756250 1212410000 1515512500 2424820000 3031025000 6062050000 12124100000