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12211213232000 = 27537523101449
BaseRepresentation
bin1011000110110010010100…
…0001101110011110000000
31121020101021110000222211202
42301230211001232132000
53100032031041411000
641545430502400332
72400142150610006
oct261544501563600
947211243028752
1012211213232000
113988823584192
1214527467300a8
136a7687b74383
14303050dd8a76
15162995a03dd5
hexb1b2506e780

12211213232000 has 128 divisors (see below), whose sum is σ = 30364463844000. Its totient is φ = 4883787878400.

The previous prime is 12211213231999. The next prime is 12211213232003. The reversal of 12211213232000 is 23231211221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122112132320002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211213232003) 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 15 ways as a sum of consecutive naturals, for example, 120317276 + ... + 120418724.

Almost surely, 212211213232000 is an apocalyptic number.

12211213232000 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 12211213232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182231922000).

12211213232000 is an abundant number, since it is smaller than the sum of its proper divisors (18153250612000).

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

12211213232000 is an equidigital number, since it uses as much as digits as its factorization.

12211213232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109001 (or 108979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12211213232000 its reverse (23231211221), we get a palindrome (12234444443221).

The spelling of 12211213232000 in words is "twelve trillion, two hundred eleven billion, two hundred thirteen million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 7523 8000 15046 16000 30092 37615 60184 75230 101449 120368 150460 188075 202898 240736 300920 376150 405796 481472 507245 601840 752300 811592 940375 962944 1014490 1203680 1504600 1623184 1880750 2028980 2407360 2536225 3009200 3246368 3761500 4057960 4814720 5072450 6018400 6492736 7523000 8115920 10144900 12036800 12681125 12985472 15046000 16231840 20289800 24073600 25362250 30092000 32463680 40579600 50724500 60184000 64927360 81159200 101449000 120368000 162318400 202898000 324636800 405796000 763200827 811592000 1526401654 1623184000 3052803308 3816004135 6105606616 7632008270 12211213232 15264016540 19080020675 24422426464 30528033080 38160041350 48844852928 61056066160 76320082700 95400103375 97689705856 122112132320 152640165400 190800206750 244224264640 305280330800 381600413500 488448529280 610560661600 763200827000 1221121323200 1526401654000 2442242646400 3052803308000 6105606616000 12211213232000