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122434244044401 = 31710769173243629
BaseRepresentation
bin11011110101101001110001…
…100111111110011001110001
3121001111121011222101221201010
4123311221301213332121301
5112021430312433410101
61112221303142501133
734534403463154332
oct3365516147763161
9531447158357633
10122434244044401
11360140869aa833
12118946b07347a9
135341665a21833
142233bc5a4a289
15e24be05352d6
hex6f5a719fe671

122434244044401 has 32 divisors (see below), whose sum is σ = 174489025875840. Its totient is φ = 76092502793216.

The previous prime is 122434244044397. The next prime is 122434244044423. The reversal of 122434244044401 is 104440442434221.

It is a cyclic number.

It is not a de Polignac number, because 122434244044401 - 22 = 122434244044397 is a prime.

It is a super-2 number, since 2×1224342440444012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122434244044401.

It is not an unprimeable number, because it can be changed into a prime (122434244044471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36124255 + ... + 39367883.

It is an arithmetic number, because the mean of its divisors is an integer number (5452782058620).

Almost surely, 2122434244044401 is an apocalyptic number.

It is an amenable number.

122434244044401 is a deficient number, since it is larger than the sum of its proper divisors (52054781831439).

122434244044401 is a wasteful number, since it uses less digits than its factorization.

122434244044401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250673.

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 122434244044401 its reverse (104440442434221), we get a palindrome (226874686478622).

The spelling of 122434244044401 in words is "one hundred twenty-two trillion, four hundred thirty-four billion, two hundred forty-four million, forty-four thousand, four hundred one".

Divisors: 1 3 17 51 107 321 1819 5457 6917 20751 117589 352767 740119 2220357 3243629 9730887 12582023 37746069 55141693 165425079 347068303 1041204909 5900161151 17700483453 22436181793 67308545379 381415090481 1144245271443 2400671451851 7202014355553 40811414681467 122434244044401