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1121310222312 = 233726121511697
BaseRepresentation
bin10000010100010011010…
…011000010011111101000
310222012022001000020002210
4100110103103002133220
5121332420404103222
62215042305325120
7144004053425400
oct20242323023750
93865261006083
101121310222312
113a25aa42a475
121613986367a0
138197ba59987
143c3b37b1800
151e27b77ad0c
hex105134c27e8

1121310222312 has 288 divisors, whose sum is σ = 3339209914560. Its totient is φ = 312850944000.

The previous prime is 1121310222299. The next prime is 1121310222313. The reversal of 1121310222312 is 2132220131211.

It is a super-4 number, since 4×11213102223124 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1121310222313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 660759448 + ... + 660761144.

It is an arithmetic number, because the mean of its divisors is an integer number (11594478870).

Almost surely, 21121310222312 is an apocalyptic number.

1121310222312 is a gapful number since it is divisible by the number (12) 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 1121310222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669604957280).

1121310222312 is an abundant number, since it is smaller than the sum of its proper divisors (2217899692248).

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

1121310222312 is a wasteful number, since it uses less digits than its factorization.

1121310222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1121310222312 its reverse (2132220131211), we get a palindrome (3253530353523).

The spelling of 1121310222312 in words is "one trillion, one hundred twenty-one billion, three hundred ten million, two hundred twenty-two thousand, three hundred twelve".