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20121121000212 = 22329163751747189
BaseRepresentation
bin1001001001100110100000…
…10001010000101100010100
32122020120010111222211100120
410210303100101100230110
510114131023434001322
6110443303153311540
74144463064363321
oct444632021205424
978216114884316
1020121121000212
116458357280211
12230b7368655b0
13b2c54b7c252b
144d7c2040bb48
1524d5e346ea5c
hex124cd0450b14

20121121000212 has 96 divisors (see below), whose sum is σ = 48873724099200. Its totient is φ = 6435041905152.

The previous prime is 20121121000171. The next prime is 20121121000217. The reversal of 20121121000212 is 21200012112102.

It is a junction number, because it is equal to n+sod(n) for n = 20121121000191 and 20121121000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121121000217) 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, 426370714 + ... + 426417902.

It is an arithmetic number, because the mean of its divisors is an integer number (509101292700).

Almost surely, 220121121000212 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 20121121000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24436862049600).

20121121000212 is an abundant number, since it is smaller than the sum of its proper divisors (28752603098988).

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

20121121000212 is a wasteful number, since it uses less digits than its factorization.

20121121000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54905 (or 54903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20121121000212 its reverse (21200012112102), we get a palindrome (41321133112314).

The spelling of 20121121000212 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 29 58 87 116 163 174 326 348 489 652 978 1956 4727 7517 9454 14181 15034 18908 22551 28362 30068 45102 47189 56724 90204 94378 141567 188756 217993 283134 435986 566268 653979 871972 1225271 1307958 1368481 2450542 2615916 2736962 3675813 4105443 4901084 5473924 7351626 7691807 8210886 14703252 15383614 16421772 23075421 30767228 35532859 46150842 71065718 92301684 106598577 142131436 213197154 223062403 354719713 426394308 446124806 669187209 709439426 892249612 1064159139 1338374418 1418878852 2128318278 2676748836 4256636556 10286871677 20573743354 30860615031 41147486708 57819313219 61721230062 115638626438 123442460124 173457939657 231277252876 346915879314 693831758628 1676760083351 3353520166702 5030280250053 6707040333404 10060560500106 20121121000212