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122424001 = 722498449
BaseRepresentation
bin1110100110000…
…00101011000001
322112100210011021
413103000223001
5222320032001
620051545441
73014405200
oct723005301
9275323137
10122424001
1163117a67
1234bbb281
131c49534b
141238b237
15ab33ba1
hex74c0ac1

122424001 has 6 divisors (see below), whose sum is σ = 142411650. Its totient is φ = 104934816.

The previous prime is 122423999. The next prime is 122424013. The reversal of 122424001 is 100424221.

It can be written as a sum of positive squares in only one way, i.e., 66846976 + 55577025 = 8176^2 + 7455^2 .

It is not a de Polignac number, because 122424001 - 21 = 122423999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122424061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1249176 + ... + 1249273.

It is an arithmetic number, because the mean of its divisors is an integer number (23735275).

Almost surely, 2122424001 is an apocalyptic number.

It is an amenable number.

122424001 is a deficient number, since it is larger than the sum of its proper divisors (19987649).

122424001 is an equidigital number, since it uses as much as digits as its factorization.

122424001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498463 (or 2498456 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122424001 is about 11064.5379930660. The cubic root of 122424001 is about 496.5414669233.

Adding to 122424001 its reverse (100424221), we get a palindrome (222848222).

The spelling of 122424001 in words is "one hundred twenty-two million, four hundred twenty-four thousand, one".

Divisors: 1 7 49 2498449 17489143 122424001