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122716652801 is a prime number
BaseRepresentation
bin111001001001001111…
…0111000010100000001
3102201202100000212112212
41302102132320110001
54002310430342201
6132213015431505
711603014223651
oct1622236702401
9381670025485
10122716652801
1148053395626
121b949685595
13b758c81832
145d22072361
1532d3729abb
hex1c927b8501

122716652801 has 2 divisors, whose sum is σ = 122716652802. Its totient is φ = 122716652800.

The previous prime is 122716652797. The next prime is 122716652833. The reversal of 122716652801 is 108256617221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111165562225 + 11551090576 = 333415^2 + 107476^2 .

It is a cyclic number.

It is not a de Polignac number, because 122716652801 - 22 = 122716652797 is a prime.

It is a super-2 number, since 2×1227166528012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122716652501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61358326400 + 61358326401.

It is an arithmetic number, because the mean of its divisors is an integer number (61358326401).

Almost surely, 2122716652801 is an apocalyptic number.

It is an amenable number.

122716652801 is a deficient number, since it is larger than the sum of its proper divisors (1).

122716652801 is an equidigital number, since it uses as much as digits as its factorization.

122716652801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 122716652801 in words is "one hundred twenty-two billion, seven hundred sixteen million, six hundred fifty-two thousand, eight hundred one".