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12212616 = 2331323011
BaseRepresentation
bin101110100101…
…100110001000
3211222110120010
4232211212020
511111300431
61113431520
7205543203
oct56454610
924873503
1012212616
116991579
12410b5a0
1326b7a00
14189c93a
151113846
hexba5988

12212616 has 48 divisors (see below), whose sum is σ = 33071760. Its totient is φ = 3756480.

The previous prime is 12212597. The next prime is 12212623. The reversal of 12212616 is 61621221.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12212592 and 12212601.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2551 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (688995).

Almost surely, 212212616 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 12212616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535880).

12212616 is an abundant number, since it is smaller than the sum of its proper divisors (20859144).

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

12212616 is a wasteful number, since it uses less digits than its factorization.

12212616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3029 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 12212616 is about 3494.6553478133. The cubic root of 12212616 is about 230.2870769455.

Adding to 12212616 its reverse (61621221), we get a palindrome (73833837).

The spelling of 12212616 in words is "twelve million, two hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 3011 4056 6022 9033 12044 18066 24088 36132 39143 72264 78286 117429 156572 234858 313144 469716 508859 939432 1017718 1526577 2035436 3053154 4070872 6106308 12212616