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4221312120 = 2332511725867
BaseRepresentation
bin1111101110011100…
…0001110001111000
3101220012010212121100
43323213001301320
532121123441440
61534513211400
7206415363264
oct37347016170
911805125540
104221312120
111876903303
12999860b60
1352372b42c
142c08c30a4
1519a8de230
hexfb9c1c78

4221312120 has 48 divisors (see below), whose sum is σ = 13719265560. Its totient is φ = 1125683136.

The previous prime is 4221312119. The next prime is 4221312127. The reversal of 4221312120 is 212131224.

It is a happy number.

4221312120 is a `hidden beast` number, since 422 + 1 + 31 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4221312093 and 4221312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221312127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5862574 + ... + 5863293.

Almost surely, 24221312120 is an apocalyptic number.

4221312120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221312120 is an abundant number, since it is smaller than the sum of its proper divisors (9497953440).

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

4221312120 is a wasteful number, since it uses less digits than its factorization.

4221312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11725884 (or 11725877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4221312120 is about 64971.6254991362. The cubic root of 4221312120 is about 1616.1530577098.

Adding to 4221312120 its reverse (212131224), we get a palindrome (4433443344).

The spelling of 4221312120 in words is "four billion, two hundred twenty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11725867 23451734 35177601 46903468 58629335 70355202 93806936 105532803 117258670 140710404 175888005 211065606 234517340 281420808 351776010 422131212 469034680 527664015 703552020 844262424 1055328030 1407104040 2110656060 4221312120