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12001023221 = 1126310513947
BaseRepresentation
bin10110010110101000…
…10001010011110101
31010222101001010221112
423023110101103311
5144034230220341
65302503324405
7603253004615
oct131324212365
933871033845
1012001023221
1150a92a0410
1223ab150705
131193432495
1481bc06a45
154a38c3aeb
hex2cb5114f5

12001023221 has 16 divisors (see below), whose sum is σ = 13157641728. Its totient is φ = 10855446000.

The previous prime is 12001023127. The next prime is 12001023239. The reversal of 12001023221 is 12232010021.

It is a happy number.

12001023221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001023221 - 218 = 12000761077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001023196 and 12001023205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001023241) 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 15 ways as a sum of consecutive naturals, for example, 3038570 + ... + 3042516.

It is an arithmetic number, because the mean of its divisors is an integer number (822352608).

Almost surely, 212001023221 is an apocalyptic number.

12001023221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001023221 is a deficient number, since it is larger than the sum of its proper divisors (1156618507).

12001023221 is a wasteful number, since it uses less digits than its factorization.

12001023221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12001023221 its reverse (12232010021), we get a palindrome (24233033242).

The spelling of 12001023221 in words is "twelve billion, one million, twenty-three thousand, two hundred twenty-one".

Divisors: 1 11 263 1051 2893 3947 11561 43417 276413 1038061 3040543 4148297 11418671 45631267 1091002111 12001023221