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122030101224 = 233210116780817
BaseRepresentation
bin111000110100110001…
…1111001001011101000
3102122222111011102211200
41301221203321023220
53444404201214344
6132020532324200
711550006513603
oct1615143711350
9378874142750
10122030101224
11478308a1229
121b797773660
13b6799707b5
145c98bd933a
153293312069
hex1c698f92e8

122030101224 has 48 divisors (see below), whose sum is σ = 333770470020. Its totient is φ = 40273958400.

The previous prime is 122030101177. The next prime is 122030101247. The reversal of 122030101224 is 422101030221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82237032900 + 39793068324 = 286770^2 + 199482^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122030101197 and 122030101206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8383137 + ... + 8397680.

Almost surely, 2122030101224 is an apocalyptic number.

It is an amenable number.

122030101224 is an abundant number, since it is smaller than the sum of its proper divisors (211740368796).

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

122030101224 is a wasteful number, since it uses less digits than its factorization.

122030101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16780930 (or 16780923 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122030101224 its reverse (422101030221), we get a palindrome (544131131445).

The spelling of 122030101224 in words is "one hundred twenty-two billion, thirty million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 16780817 33561634 50342451 67123268 100684902 134246536 151027353 201369804 302054706 402739608 604109412 1208218824 1694862517 3389725034 5084587551 6779450068 10169175102 13558900136 15253762653 20338350204 30507525306 40676700408 61015050612 122030101224