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1200132312 = 23371704303
BaseRepresentation
bin100011110001000…
…1001000011011000
310002122021001000220
41013202021003120
54424213213222
6315031000040
741511646011
oct10742110330
93078231026
101200132312
11566497195
12295b09020
1316183c782
14b5566008
1570564b5c
hex478890d8

1200132312 has 32 divisors (see below), whose sum is σ = 3042593280. Its totient is φ = 394409120.

The previous prime is 1200132301. The next prime is 1200132319. The reversal of 1200132312 is 2132310021.

It is a junction number, because it is equal to n+sod(n) for n = 1200132291 and 1200132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200132319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350448 + ... + 353855.

It is an arithmetic number, because the mean of its divisors is an integer number (95081040).

Almost surely, 21200132312 is an apocalyptic number.

1200132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200132312 is an abundant number, since it is smaller than the sum of its proper divisors (1842460968).

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

1200132312 is a wasteful number, since it uses less digits than its factorization.

1200132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704383 (or 704379 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1200132312 is about 34642.9258579584. The cubic root of 1200132312 is about 1062.6976239919.

Adding to 1200132312 its reverse (2132310021), we get a palindrome (3332442333).

The spelling of 1200132312 in words is "one billion, two hundred million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 704303 1408606 2112909 2817212 4225818 5634424 8451636 16903272 50005513 100011026 150016539 200022052 300033078 400044104 600066156 1200132312