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12222432420 = 22351121187767
BaseRepresentation
bin10110110001000001…
…11000010010100100
31011112210122220021020
423120200320102210
5200012420314140
65340453051140
7611611650522
oct133040702244
934483586236
1012222432420
115202276420
122451326ab0
1311ca274443
1483d39d312
154b805b6d0
hex2d88384a4

12222432420 has 96 divisors (see below), whose sum is σ = 37511341056. Its totient is φ = 2948937600.

The previous prime is 12222432419. The next prime is 12222432427. The reversal of 12222432420 is 2423422221.

It is a super-2 number, since 2×122224324202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12222432427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95377 + ... + 183143.

It is an arithmetic number, because the mean of its divisors is an integer number (390743136).

Almost surely, 212222432420 is an apocalyptic number.

12222432420 is a gapful number since it is divisible by the number (10) 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 12222432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755670528).

12222432420 is an abundant number, since it is smaller than the sum of its proper divisors (25288908636).

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

12222432420 is a wasteful number, since it uses less digits than its factorization.

12222432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88001 (or 87999 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12222432420 its reverse (2423422221), we get a palindrome (14645854641).

The spelling of 12222432420 in words is "twelve billion, two hundred twenty-two million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 211 220 330 422 633 660 844 1055 1266 2110 2321 2532 3165 4220 4642 6330 6963 9284 11605 12660 13926 23210 27852 34815 46420 69630 87767 139260 175534 263301 351068 438835 526602 877670 965437 1053204 1316505 1755340 1930874 2633010 2896311 3861748 4827185 5266020 5792622 9654370 11585244 14481555 18518837 19308740 28963110 37037674 55556511 57926220 74075348 92594185 111113022 185188370 203707207 222226044 277782555 370376740 407414414 555565110 611121621 814828828 1018536035 1111130220 1222243242 2037072070 2444486484 3055608105 4074144140 6111216210 12222432420