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12122002200037 is a prime number
BaseRepresentation
bin1011000001100101111110…
…1000101001010111100101
31120220212000011202000101211
42300121133220221113211
53042101330030400122
641440434304351421
72360533341421552
oct260313750512745
946825004660354
1012122002200037
113953a042494a4
1214393aa015571
1369c13b6417b2
142dc9cabd3a29
151604c3a70877
hexb065fa295e5

12122002200037 has 2 divisors, whose sum is σ = 12122002200038. Its totient is φ = 12122002200036.

The previous prime is 12122002199903. The next prime is 12122002200041. The reversal of 12122002200037 is 73000220022121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11439777411076 + 682224788961 = 3382274^2 + 825969^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122002200037 - 215 = 12122002167269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122002199990 and 12122002200017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122002200047) 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 as a sum of consecutive naturals, namely, 6061001100018 + 6061001100019.

It is an arithmetic number, because the mean of its divisors is an integer number (6061001100019).

Almost surely, 212122002200037 is an apocalyptic number.

It is an amenable number.

12122002200037 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122002200037 is an equidigital number, since it uses as much as digits as its factorization.

12122002200037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 12122002200037 its reverse (73000220022121), we get a palindrome (85122222222158).

The spelling of 12122002200037 in words is "twelve trillion, one hundred twenty-two billion, two million, two hundred thousand, thirty-seven".