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1212141312 = 28323759241
BaseRepresentation
bin100100000111111…
…1100111100000000
310010110212011021200
41020033330330000
54440302010222
6320140221200
742016013454
oct11017747400
93113764250
101212141312
11572249788
12299b3a800
131641858a5
14b6db0664
1571637eac
hex483fcf00

1212141312 has 216 divisors, whose sum is σ = 3665341680. Its totient is φ = 384860160.

The previous prime is 1212141257. The next prime is 1212141313. The reversal of 1212141312 is 2131412121.

1212141312 is a `hidden beast` number, since 1 + 212 + 141 + 312 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212141313) 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, 5029512 + ... + 5029752.

Almost surely, 21212141312 is an apocalyptic number.

1212141312 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 1212141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832670840).

1212141312 is an abundant number, since it is smaller than the sum of its proper divisors (2453200368).

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

1212141312 is a wasteful number, since it uses less digits than its factorization.

1212141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1212141312 is about 34815.8198524751. The cubic root of 1212141312 is about 1066.2304577496.

Adding to 1212141312 its reverse (2131412121), we get a palindrome (3343553433).

The spelling of 1212141312 in words is "one billion, two hundred twelve million, one hundred forty-one thousand, three hundred twelve".