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2012222201120 = 25533774350227
BaseRepresentation
bin11101010010000001110…
…010100001110100100000
321010100220020001222221122
4131102001302201310200
5230432012340413440
64140222505111412
7265243512333335
oct35220162416440
97110806058848
102012222201120
11706418a7944a
12285b95188568
131179a0757441
146d56bbcc98c
1537520ee07b5
hex1d481ca1d20

2012222201120 has 96 divisors (see below), whose sum is σ = 4774493662848. Its totient is φ = 801404448768.

The previous prime is 2012222201089. The next prime is 2012222201123. The reversal of 2012222201120 is 211022222102.

It is a happy number.

It is a super-3 number, since 3×20122222011203 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012222201123) 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, 40037447 + ... + 40087673.

It is an arithmetic number, because the mean of its divisors is an integer number (49734308988).

Almost surely, 22012222201120 is an apocalyptic number.

2012222201120 is a gapful number since it is divisible by the number (20) 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 2012222201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387246831424).

2012222201120 is an abundant number, since it is smaller than the sum of its proper divisors (2762271461728).

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

2012222201120 is a wasteful number, since it uses less digits than its factorization.

2012222201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51322 (or 51314 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2012222201120 its reverse (211022222102), we get a palindrome (2223244423222).

The spelling of 2012222201120 in words is "two trillion, twelve billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 743 1348 1486 1685 2696 2972 3370 3715 5392 5944 6740 7430 10784 11888 13480 14860 23776 26960 29720 50227 53920 59440 100454 118880 200908 250391 251135 401816 500782 502270 803632 1001564 1004540 1251955 1607264 2003128 2009080 2503910 4006256 4018160 5007820 8012512 8036320 10015640 16926499 20031280 33852998 37318661 40062560 67705996 74637322 84632495 135411992 149274644 169264990 186593305 270823984 298549288 338529980 373186610 541647968 597098576 677059960 746373220 1194197152 1354119920 1492746440 2708239840 2985492880 5970985760 12576388757 25152777514 50305555028 62881943785 100611110056 125763887570 201222220112 251527775140 402444440224 503055550280 1006111100560 2012222201120