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1212213312 = 263267101311
BaseRepresentation
bin100100001000000…
…1110100001000000
310010110222211001100
41020100032201000
54440311311222
6320141534400
742016433412
oct11020164100
93113884040
101212213312
11572298892
12299b74400
131641ac5ab
14b6dcc9b2
157164e4ac
hex4840e840

1212213312 has 168 divisors, whose sum is σ = 3572816832. Its totient is φ = 392832000.

The previous prime is 1212213293. The next prime is 1212213313. The reversal of 1212213312 is 2133122121.

It is a super-2 number, since 2×12122133122 = 2938922227580018688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1212213313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3897637 + ... + 3897947.

Almost surely, 21212213312 is an apocalyptic number.

1212213312 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 1212213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786408416).

1212213312 is an abundant number, since it is smaller than the sum of its proper divisors (2360603520).

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

1212213312 is a wasteful number, since it uses less digits than its factorization.

1212213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1212213312 is about 34816.8538498239. The cubic root of 1212213312 is about 1066.2515683446.

1212213312 divided by its product of digits (144) gives a palindrome (8418148).

Adding to 1212213312 its reverse (2133122121), we get a palindrome (3345335433).

The spelling of 1212213312 in words is "one billion, two hundred twelve million, two hundred thirteen thousand, three hundred twelve".