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12102211201000 = 235328099430699
BaseRepresentation
bin1011000000011100001111…
…1111111110011111101000
31120211221220220111002120111
42300013003333332133220
53041240312031413000
641423402402504104
72356233034621114
oct260070377763750
946757826432514
1012102211201000
11394657879aa48
1214355a6065034
1369a30635308b
142dba70594744
1515ec1633acba
hexb01c3ffe7e8

12102211201000 has 64 divisors (see below), whose sum is σ = 28320247800000. Its totient is φ = 4840700961600.

The previous prime is 12102211200983. The next prime is 12102211201007. The reversal of 12102211201000 is 10211220121.

It is not an unprimeable number, because it can be changed into a prime (12102211201007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27883651 + ... + 28314349.

It is an arithmetic number, because the mean of its divisors is an integer number (442503871875).

Almost surely, 212102211201000 is an apocalyptic number.

12102211201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102211201000 is an abundant number, since it is smaller than the sum of its proper divisors (16218036599000).

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

12102211201000 is a wasteful number, since it uses less digits than its factorization.

12102211201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458819 (or 458805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12102211201000 its reverse (10211220121), we get a palindrome (12112422421121).

The spelling of 12102211201000 in words is "twelve trillion, one hundred two billion, two hundred eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 28099 56198 112396 140495 224792 280990 430699 561980 702475 861398 1123960 1404950 1722796 2153495 2809900 3445592 3512375 4306990 5619800 7024750 8613980 10767475 14049500 17227960 21534950 28099000 43069900 53837375 86139800 107674750 215349500 430699000 12102211201 24204422402 48408844804 60511056005 96817689608 121022112010 242044224020 302555280025 484088448040 605110560050 1210221120100 1512776400125 2420442240200 3025552800250 6051105600500 12102211201000