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122221424440 = 23524112678571
BaseRepresentation
bin111000111010011110…
…1101110111100111000
3102200110211011122221201
41301310331232330320
54000302141040230
6132051525143544
711554521652333
oct1616475567470
9380424148851
10122221424440
1147919898195
121b82b85abb4
13b6aa4aa5bb
145cb639d61a
1532a50055ca
hex1c74f6ef38

122221424440 has 32 divisors (see below), whose sum is σ = 276139298160. Its totient is φ = 48685708800.

The previous prime is 122221424399. The next prime is 122221424443. The reversal of 122221424440 is 44424122221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122221424399 and 122221424408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221424443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6329646 + ... + 6348925.

Almost surely, 2122221424440 is an apocalyptic number.

122221424440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221424440 is an abundant number, since it is smaller than the sum of its proper divisors (153917873720).

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

122221424440 is a wasteful number, since it uses less digits than its factorization.

122221424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12678823 (or 12678819 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 122221424440 its reverse (44424122221), we get a palindrome (166645546661).

The spelling of 122221424440 in words is "one hundred twenty-two billion, two hundred twenty-one million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 9640 12678571 25357142 50714284 63392855 101428568 126785710 253571420 507142840 3055535611 6111071222 12222142444 15277678055 24444284888 30555356110 61110712220 122221424440