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1200213112 = 237315211327
BaseRepresentation
bin100011110001001…
…1100110001111000
310002122102010212111
41013202130301320
54424223304422
6315032422104
741512433410
oct10742346170
93078363774
101200213112
1156654196a
12295b47934
1316186a497
14b5587640
157057da77
hex4789cc78

1200213112 has 64 divisors (see below), whose sum is σ = 2661949440. Its totient is φ = 496454400.

The previous prime is 1200213089. The next prime is 1200213127. The reversal of 1200213112 is 2113120021.

It is a junction number, because it is equal to n+sod(n) for n = 1200213092 and 1200213101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903793 + ... + 905119.

It is an arithmetic number, because the mean of its divisors is an integer number (41592960).

Almost surely, 21200213112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330974720).

1200213112 is an abundant number, since it is smaller than the sum of its proper divisors (1461736328).

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

1200213112 is a wasteful number, since it uses less digits than its factorization.

1200213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1200213112 is about 34644.0920215843. The cubic root of 1200213112 is about 1062.7214724849.

Adding to 1200213112 its reverse (2113120021), we get a palindrome (3313333133).

The spelling of 1200213112 in words is "one billion, two hundred million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 521 868 1042 1327 1736 2084 2654 3647 4168 5308 7294 9289 10616 14588 16151 18578 29176 32302 37156 41137 64604 74312 82274 113057 129208 164548 226114 287959 329096 452228 575918 691367 904456 1151836 1382734 2303672 2765468 4839569 5530936 9679138 19358276 21432377 38716552 42864754 85729508 150026639 171459016 300053278 600106556 1200213112