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1221323422001 is a prime number
BaseRepresentation
bin10001110001011100100…
…011000111100100110001
311022202110010111011220212
4101301130203013210301
5130002232244001001
62333022423313505
7154144350541064
oct21613443074461
94282403434825
101221323422001
11430a62260701
1217884a8ab895
138b22a20b487
14431804aa8db
1521b81c217bb
hex11c5c8c7931

1221323422001 has 2 divisors, whose sum is σ = 1221323422002. Its totient is φ = 1221323422000.

The previous prime is 1221323421973. The next prime is 1221323422037. The reversal of 1221323422001 is 1002243231221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1098262080400 + 123061341601 = 1047980^2 + 350801^2 .

It is an emirp because it is prime and its reverse (1002243231221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1221323422001 - 222 = 1221319227697 is a prime.

It is a super-2 number, since 2×12213234220012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1221323422061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610661711000 + 610661711001.

It is an arithmetic number, because the mean of its divisors is an integer number (610661711001).

Almost surely, 21221323422001 is an apocalyptic number.

It is an amenable number.

1221323422001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221323422001 is an equidigital number, since it uses as much as digits as its factorization.

1221323422001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1221323422001 its reverse (1002243231221), we get a palindrome (2223566653222).

The spelling of 1221323422001 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-three million, four hundred twenty-two thousand, one".