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122400908561 is a prime number
BaseRepresentation
bin111000111111110101…
…0011010010100010001
3102200221022220101212202
41301333222122110101
54001134113033221
6132121420132545
711562131361551
oct1617752322421
9380838811782
10122400908561
1147a01138278
121b87b997155
13b708730719
145cd2161161
1532b5b5ad0b
hex1c7fa9a511

122400908561 has 2 divisors, whose sum is σ = 122400908562. Its totient is φ = 122400908560.

The previous prime is 122400908549. The next prime is 122400908587. The reversal of 122400908561 is 165809004221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115844929600 + 6555978961 = 340360^2 + 80969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122400908561 is a prime.

It is not a weakly prime, because it can be changed into another prime (122400908761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200454280 + 61200454281.

It is an arithmetic number, because the mean of its divisors is an integer number (61200454281).

Almost surely, 2122400908561 is an apocalyptic number.

It is an amenable number.

122400908561 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400908561 is an equidigital number, since it uses as much as digits as its factorization.

122400908561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 122400908561 in words is "one hundred twenty-two billion, four hundred million, nine hundred eight thousand, five hundred sixty-one".