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122861227808 = 251124321312
BaseRepresentation
bin111001001101100011…
…0011000111100100000
3102202010102002001011202
41302123012120330200
54003104433242213
6132235222300332
711606421130304
oct1623306307440
9382112061152
10122861227808
1148117a61a00
121b989b876a8
13b77cc01387
145d37347d04
1532e1286b58
hex1c9b198f20

122861227808 has 162 divisors, whose sum is σ = 274292002971. Its totient is φ = 54130876800.

The previous prime is 122861227789. The next prime is 122861227813. The reversal of 122861227808 is 808722168221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61430613904 + 61430613904 = 247852^2 + 247852^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247852.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 937871903 + ... + 937872033.

Almost surely, 2122861227808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122861227808

122861227808 is an abundant number, since it is smaller than the sum of its proper divisors (151430775163).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122861227808 is an equidigital number, since it uses as much as digits as its factorization.

122861227808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The spelling of 122861227808 in words is "one hundred twenty-two billion, eight hundred sixty-one million, two hundred twenty-seven thousand, eight hundred eight".