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122409280541 is a prime number
BaseRepresentation
bin111001000000000101…
…0010110010000011101
3102200221220122202002002
41302000022112100131
54001143233434131
6132122315412045
711562262500632
oct1620012262035
9380856582062
10122409280541
1147a05936269
121b882754025
13b70a3a2262
145cd3300189
1532b67616cb
hex1c8029641d

122409280541 has 2 divisors, whose sum is σ = 122409280542. Its totient is φ = 122409280540.

The previous prime is 122409280523. The next prime is 122409280549. The reversal of 122409280541 is 145082904221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121367927641 + 1041352900 = 348379^2 + 32270^2 .

It is a cyclic number.

It is not a de Polignac number, because 122409280541 - 214 = 122409264157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122409280495 and 122409280504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122409280549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61204640270 + 61204640271.

It is an arithmetic number, because the mean of its divisors is an integer number (61204640271).

Almost surely, 2122409280541 is an apocalyptic number.

It is an amenable number.

122409280541 is a deficient number, since it is larger than the sum of its proper divisors (1).

122409280541 is an equidigital number, since it uses as much as digits as its factorization.

122409280541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 122409280541 in words is "one hundred twenty-two billion, four hundred nine million, two hundred eighty thousand, five hundred forty-one".