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12220020122000 = 245316993596239
BaseRepresentation
bin1011000111010011000111…
…1101010110000110010000
31121021020000012202100201212
42301310301331112012100
53100203100122401000
641553444424515252
72400603330131105
oct261646175260620
947236005670655
1012220020122000
113991532868a79
1214543a401bb28
136a845c6104a2
14303648902aac
15162d0dc87c35
hexb1d31f56190

12220020122000 has 80 divisors (see below), whose sum is σ = 29565408288000. Its totient is φ = 4885129699200.

The previous prime is 12220020121993. The next prime is 12220020122059. The reversal of 12220020122000 is 22102002221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599881 + ... + 5196119.

It is an arithmetic number, because the mean of its divisors is an integer number (369567603600).

Almost surely, 212220020122000 is an apocalyptic number.

12220020122000 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 12220020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782704144000).

12220020122000 is an abundant number, since it is smaller than the sum of its proper divisors (17345388166000).

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

12220020122000 is a wasteful number, since it uses less digits than its factorization.

12220020122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597961 (or 3597945 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220020122000 its reverse (22102002221), we get a palindrome (12242122124221).

The spelling of 12220020122000 in words is "twelve trillion, two hundred twenty billion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1699 2000 3398 6796 8495 13592 16990 27184 33980 42475 67960 84950 135920 169900 212375 339800 424750 679600 849500 1699000 3398000 3596239 7192478 14384956 17981195 28769912 35962390 57539824 71924780 89905975 143849560 179811950 287699120 359623900 449529875 719247800 899059750 1438495600 1798119500 3596239000 6110010061 7192478000 12220020122 24440040244 30550050305 48880080488 61100100610 97760160976 122200201220 152750251525 244400402440 305500503050 488800804880 611001006100 763751257625 1222002012200 1527502515250 2444004024400 3055005030500 6110010061000 12220020122000