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12322332212129 = 101823714811617
BaseRepresentation
bin1011001101010000010000…
…1110111111101110100001
31121122000002112000001101022
42303110010032333232201
53103342114021242004
642112445024015225
72411154610424132
oct263240416775641
947560075001338
1012322332212129
113a20965322665
121470198161515
136b4cb61390a4
14308592a5bc89
151657eae812be
hexb35043bfba1

12322332212129 has 8 divisors (see below), whose sum is σ = 12445847126568. Its totient is φ = 12198846937600.

The previous prime is 12322332212111. The next prime is 12322332212153. The reversal of 12322332212129 is 92121223322321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9429689808400 + 2892642403729 = 3070780^2 + 1700777^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12322332212129 is a prime.

It is a super-2 number, since 2×123223322121292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12322332211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6573872 + ... + 8237745.

It is an arithmetic number, because the mean of its divisors is an integer number (1555730890821).

Almost surely, 212322332212129 is an apocalyptic number.

It is an amenable number.

12322332212129 is a deficient number, since it is larger than the sum of its proper divisors (123514914439).

12322332212129 is a wasteful number, since it uses less digits than its factorization.

12322332212129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819955.

The product of its digits is 31104, while the sum is 35.

The spelling of 12322332212129 in words is "twelve trillion, three hundred twenty-two billion, three hundred thirty-two million, two hundred twelve thousand, one hundred twenty-nine".

Divisors: 1 101 8237 831937 14811617 1495973317 122003289229 12322332212129