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1212080128 = 213723919
BaseRepresentation
bin100100000111110…
…1110000000000000
310010110202001100121
41020033232000000
54440243031003
6320135030024
742015340210
oct11017560000
93113661317
101212080128
11572207816
12299b0b314
13164163a9c
14b6d96240
1571624cbd
hex483ee000

1212080128 has 112 divisors (see below), whose sum is σ = 2893893120. Its totient is φ = 496336896.

The previous prime is 1212080119. The next prime is 1212080137. The reversal of 1212080128 is 8210802121.

It is an interprime number because it is at equal distance from previous prime (1212080119) and next prime (1212080137).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318453 + ... + 1319371.

Almost surely, 21212080128 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 1212080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446946560).

1212080128 is an abundant number, since it is smaller than the sum of its proper divisors (1681812992).

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

1212080128 is an frugal number, since it uses more digits than its factorization.

1212080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 1212080128 is about 34814.9411603696. The cubic root of 1212080128 is about 1066.2125177780.

Adding to 1212080128 its reverse (8210802121), we get a palindrome (9422882249).

The spelling of 1212080128 in words is "one billion, two hundred twelve million, eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 919 1024 1288 1472 1792 1838 2048 2576 2944 3584 3676 4096 5152 5888 6433 7168 7352 8192 10304 11776 12866 14336 14704 20608 21137 23552 25732 28672 29408 41216 42274 47104 51464 57344 58816 82432 84548 94208 102928 117632 147959 164864 169096 188416 205856 235264 295918 329728 338192 411712 470528 591836 659456 676384 823424 941056 1183672 1318912 1352768 1646848 1882112 2367344 2705536 3293696 3764224 4734688 5411072 6587392 7528448 9469376 10822144 13174784 18938752 21644288 26349568 37877504 43288576 52699136 75755008 86577152 151510016 173154304 303020032 606040064 1212080128