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122144447778121 is a prime number
BaseRepresentation
bin11011110001011011111000…
…011010111100110101001001
3121000110220011120121022012201
4123301123320122330311021
5112002203312112344441
61111440215031040201
734504434165431536
oct3361337032746511
9530426146538181
10122144447778121
1135a1219552071a
12118484b4510061
135320230b73cb2
142223b73b41d8d
15e1c3cda79c31
hex6f16f86bcd49

122144447778121 has 2 divisors, whose sum is σ = 122144447778122. Its totient is φ = 122144447778120.

The previous prime is 122144447778083. The next prime is 122144447778163. The reversal of 122144447778121 is 121877744441221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122082279337225 + 62168440896 = 11049085^2 + 249336^2 .

It is a cyclic number.

It is not a de Polignac number, because 122144447778121 - 221 = 122144445680969 is a prime.

It is a super-2 number, since 2×1221444477781212 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122144447772121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61072223889060 + 61072223889061.

It is an arithmetic number, because the mean of its divisors is an integer number (61072223889061).

Almost surely, 2122144447778121 is an apocalyptic number.

It is an amenable number.

122144447778121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122144447778121 is an equidigital number, since it uses as much as digits as its factorization.

122144447778121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5619712, while the sum is 55.

The spelling of 122144447778121 in words is "one hundred twenty-two trillion, one hundred forty-four billion, four hundred forty-seven million, seven hundred seventy-eight thousand, one hundred twenty-one".