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12522320000 = 2754157997
BaseRepresentation
bin10111010100110001…
…10111000010000000
31012022200221202200122
423222120313002000
5201121203220000
65430324435412
7622212651401
oct135230670200
935280852618
1012522320000
1153465833a3
122515848b68
131247433008
1486b1439a8
154d4547085
hex2ea637080

12522320000 has 160 divisors (see below), whose sum is σ = 31403557020. Its totient is φ = 4972032000.

The previous prime is 12522319993. The next prime is 12522320009. The reversal of 12522320000 is 2322521.

It can be written as a sum of positive squares in 10 ways, for example, as 441672256 + 12080647744 = 21016^2 + 109912^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (12522320009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12559502 + ... + 12560498.

Almost surely, 212522320000 is an apocalyptic number.

12522320000 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 12522320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701778510).

12522320000 is an abundant number, since it is smaller than the sum of its proper divisors (18881237020).

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

12522320000 is an frugal number, since it uses more digits than its factorization.

12522320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 12522320000 its reverse (2322521), we get a palindrome (12524642521).

The spelling of 12522320000 in words is "twelve billion, five hundred twenty-two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 157 160 200 250 314 320 400 500 625 628 640 785 800 997 1000 1250 1256 1570 1600 1994 2000 2500 2512 3140 3200 3925 3988 4000 4985 5000 5024 6280 7850 7976 8000 9970 10000 10048 12560 15700 15952 16000 19625 19940 20000 20096 24925 25120 31400 31904 39250 39880 40000 49850 50240 62800 63808 78500 79760 80000 98125 99700 100480 124625 125600 127616 156529 157000 159520 196250 199400 249250 251200 313058 314000 319040 392500 398800 498500 502400 623125 626116 628000 638080 782645 785000 797600 997000 1246250 1252232 1256000 1565290 1570000 1595200 1994000 2492500 2504464 2512000 3130580 3140000 3190400 3913225 3988000 4985000 5008928 6261160 6280000 7826450 7976000 9970000 10017856 12522320 12560000 15652900 15952000 19566125 19940000 20035712 25044640 31305800 39132250 39880000 50089280 62611600 78264500 79760000 97830625 100178560 125223200 156529000 195661250 250446400 313058000 391322500 500892800 626116000 782645000 1252232000 1565290000 2504464000 3130580000 6261160000 12522320000