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12121002010020 = 22353311303346829
BaseRepresentation
bin1011000001100010010000…
…0001001110010110100100
31120220202102110201002122010
42300120210001032112210
53042042303003310040
641440151135034220
72360466505066641
oct260304401162644
946822373632563
1012121002010020
113953540705982
12143916b06b970
1369c00c368c97
142dc934036dc8
15160465d52e80
hexb062404e5a4

12121002010020 has 96 divisors (see below), whose sum is σ = 34044678702720. Its totient is φ = 3222185978880.

The previous prime is 12121002009997. The next prime is 12121002010021. The reversal of 12121002010020 is 2001020012121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12121002009978 and 12121002010005.

It is not an unprimeable number, because it can be changed into a prime (12121002010021) 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, 258811966 + ... + 258858794.

It is an arithmetic number, because the mean of its divisors is an integer number (354632069820).

Almost surely, 212121002010020 is an apocalyptic number.

12121002010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121002010020 is an abundant number, since it is smaller than the sum of its proper divisors (21923676692700).

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

12121002010020 is a wasteful number, since it uses less digits than its factorization.

12121002010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60205 (or 60203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121002010020 its reverse (2001020012121), we get a palindrome (14122022022141).

The spelling of 12121002010020 in words is "twelve trillion, one hundred twenty-one billion, two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 3310 3972 4965 6620 9930 13033 19860 26066 39099 46829 52132 65165 78198 93658 130330 140487 156396 187316 195495 234145 260660 280974 390990 468290 561948 702435 781980 936580 1404870 2809740 4313923 8627846 12941769 15500399 17255692 21569615 25883538 31000798 43139230 46501197 51767076 62001596 64708845 77501995 86278460 93002394 129417690 155003990 186004788 232505985 258835380 310007980 465011970 610322357 930023940 1220644714 1830967071 2441289428 3051611785 3661934142 6103223570 7323868284 9154835355 12206447140 18309670710 36619341420 202016700167 404033400334 606050100501 808066800668 1010083500835 1212100201002 2020167001670 2424200402004 3030250502505 4040334003340 6060501005010 12121002010020