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12421220 = 2257172307
BaseRepresentation
bin101111011000…
…100001100100
3212101001201012
4233120201210
511134434340
61122121352
7210402320
oct57304144
925331635
1012421220
117014279
1241b0258
13275b946
141914980
151155565
hexbd8864

12421220 has 72 divisors (see below), whose sum is σ = 31770816. Its totient is φ = 3995136.

The previous prime is 12421217. The next prime is 12421223. The reversal of 12421220 is 2212421.

It is an interprime number because it is at equal distance from previous prime (12421217) and next prime (12421223).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12421195 and 12421204.

It is not an unprimeable number, because it can be changed into a prime (12421223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40307 + ... + 40613.

Almost surely, 212421220 is an apocalyptic number.

12421220 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 12421220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885408).

12421220 is an abundant number, since it is smaller than the sum of its proper divisors (19349596).

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

12421220 is a wasteful number, since it uses less digits than its factorization.

12421220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12421220 is about 3524.3751219188. The cubic root of 12421220 is about 231.5908613379.

Adding to 12421220 its reverse (2212421), we get a palindrome (14633641).

The spelling of 12421220 in words is "twelve million, four hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 289 307 340 476 578 595 614 1156 1190 1228 1445 1535 2023 2149 2380 2890 3070 4046 4298 5219 5780 6140 8092 8596 10115 10438 10745 20230 20876 21490 26095 36533 40460 42980 52190 73066 88723 104380 146132 177446 182665 354892 365330 443615 621061 730660 887230 1242122 1774460 2484244 3105305 6210610 12421220