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12214104042324 = 22317312478315971
BaseRepresentation
bin1011000110111101000101…
…0101010010101101010100
31121020122201220121101002210
42301233101111102231110
53100103441113323244
641551025410433420
72400303612234312
oct261572125225524
947218656541083
1012214104042324
113989a77346828
121453212892870
136a7a28a48322
14303246cdb0b2
15162ab46ca4b9
hexb1bd1552b54

12214104042324 has 288 divisors, whose sum is σ = 32229948377088. Its totient is φ = 3585415756800.

The previous prime is 12214104042313. The next prime is 12214104042337. The reversal of 12214104042324 is 42324040141221.

12214104042324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12214104042291 and 12214104042300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764759659 + ... + 764775629.

It is an arithmetic number, because the mean of its divisors is an integer number (111909542976).

Almost surely, 212214104042324 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 12214104042324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114974188544).

12214104042324 is an abundant number, since it is smaller than the sum of its proper divisors (20015844334764).

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

12214104042324 is a wasteful number, since it uses less digits than its factorization.

12214104042324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16187 (or 16154 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12214104042324 its reverse (42324040141221), we get a palindrome (54538144183545).

The spelling of 12214104042324 in words is "twelve trillion, two hundred fourteen billion, one hundred four million, forty-two thousand, three hundred twenty-four".