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4221012120 = 2335136144357
BaseRepresentation
bin1111101110010111…
…1000100010011000
3101220011120122002020
43323211320202120
532121034341440
61534502534440
7206413003533
oct37345704230
911804518066
104221012120
111876718976
12999737420
13523654a10
142c0845a1a
1519a8803d0
hexfb978898

4221012120 has 128 divisors (see below), whose sum is σ = 13860987840. Its totient is φ = 1021962240.

The previous prime is 4221012079. The next prime is 4221012121. The reversal of 4221012120 is 212101224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4221012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72982 + ... + 117338.

Almost surely, 24221012120 is an apocalyptic number.

4221012120 is a gapful number since it is divisible by the number (40) 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 4221012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930493920).

4221012120 is an abundant number, since it is smaller than the sum of its proper divisors (9639975720).

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

4221012120 is a wasteful number, since it uses less digits than its factorization.

4221012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44445 (or 44441 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4221012120 is about 64969.3167579897. The cubic root of 4221012120 is about 1616.1147712411.

Adding to 4221012120 its reverse (212101224), we get a palindrome (4433113344).

The spelling of 4221012120 in words is "four billion, two hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2379 2440 3172 3660 3965 4758 6344 7320 7930 9516 11895 15860 19032 23790 31720 44357 47580 88714 95160 133071 177428 221785 266142 354856 443570 532284 576641 665355 887140 1064568 1153282 1330710 1729923 1774280 2306564 2661420 2705777 2883205 3459846 4613128 5322840 5411554 5766410 6919692 8117331 8649615 10823108 11532820 13528885 13839384 16234662 17299230 21646216 23065640 27057770 32469324 34598460 35175101 40586655 54115540 64938648 69196920 70350202 81173310 105525303 108231080 140700404 162346620 175875505 211050606 281400808 324693240 351751010 422101212 527626515 703502020 844202424 1055253030 1407004040 2110506060 4221012120