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12211133112020 = 2252292666186269
BaseRepresentation
bin1011000110110010000001…
…0000000101111011010100
31121020101001212021110220002
42301230200100011323110
53100031400034041040
641545414521230432
72400140155604033
oct261544020057324
947211055243802
1012211133112020
113988792330927
121452723932418
136a76743a14bb
1430304450071a
1516298d979a15
hexb1b20405ed4

12211133112020 has 24 divisors (see below), whose sum is σ = 25755359368200. Its totient is φ = 4863123752832.

The previous prime is 12211133112001. The next prime is 12211133112049. The reversal of 12211133112020 is 2021133111221.

It can be written as a sum of positive squares in 4 ways, for example, as 5501023121476 + 6710109990544 = 2345426^2 + 2590388^2 .

It is a super-2 number, since 2×122111331120202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12211133111983 and 12211133112001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333088555 + ... + 1333097714.

It is an arithmetic number, because the mean of its divisors is an integer number (1073139973675).

Almost surely, 212211133112020 is an apocalyptic number.

12211133112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211133112020 is an abundant number, since it is smaller than the sum of its proper divisors (13544226256180).

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

12211133112020 is a wasteful number, since it uses less digits than its factorization.

12211133112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666186507 (or 2666186505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12211133112020 its reverse (2021133111221), we get a palindrome (14232266223241).

The spelling of 12211133112020 in words is "twelve trillion, two hundred eleven billion, one hundred thirty-three million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 2666186269 5332372538 10664745076 13330931345 26661862690 53323725380 610556655601 1221113311202 2442226622404 3052783278005 6105566556010 12211133112020