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2120212121112 = 2333131466316069
BaseRepresentation
bin11110110110100110011…
…111011000011000011000
321111200122020011022221000
4132312212133120120120
5234214143300333422
64302002331545000
7306115555450251
oct36664637303030
97450566138830
102120212121112
117481a4517708
122a2ab28bb160
13124c2068ab97
1474894051b28
153a2418d3cac
hex1eda67d8618

2120212121112 has 128 divisors (see below), whose sum is σ = 5936078016000. Its totient is φ = 701148389760.

The previous prime is 2120212121081. The next prime is 2120212121191. The reversal of 2120212121112 is 2111212120212.

It is a super-2 number, since 2×21202121211122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131936214 + ... + 131952282.

It is an arithmetic number, because the mean of its divisors is an integer number (46375609500).

Almost surely, 22120212121112 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 2120212121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968039008000).

2120212121112 is an abundant number, since it is smaller than the sum of its proper divisors (3815865894888).

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

2120212121112 is a wasteful number, since it uses less digits than its factorization.

2120212121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20878 (or 20868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2120212121112 its reverse (2111212120212), we get a palindrome (4231424241324).

The spelling of 2120212121112 in words is "two trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4663 4716 7074 9326 9432 13989 14148 16069 18652 27978 28296 32138 37304 41967 48207 55956 64276 83934 96414 111912 125901 128552 144621 167868 192828 251802 289242 335736 385656 433863 503604 578484 610853 867726 1007208 1156968 1221706 1735452 1832559 2105039 2443412 3470904 3665118 4210078 4886824 5497677 6315117 7330236 8420156 10995354 12630234 14660472 16493031 16840312 18945351 21990708 25260468 32986062 37890702 43981416 50520936 56836053 65972124 74929747 75781404 113672106 131944248 149859494 151562808 224789241 227344212 299718988 449578482 454688424 599437976 674367723 899156964 1348735446 1798313928 2023103169 2697470892 4046206338 5394941784 8092412676 9815796857 16184825352 19631593714 29447390571 39263187428 58894781142 78526374856 88342171713 117789562284 176684343426 235579124568 265026515139 353368686852 530053030278 706737373704 1060106060556 2120212121112