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122330443240 = 2354733646157
BaseRepresentation
bin111000111101101110…
…1100110110111101000
3102200202102022101122001
41301323131212313220
54001013043140430
6132110421540344
711560314416365
oct1617335466750
9380672271561
10122330443240
1147975389675
121b8602746b4
13b6c6c5b175
145cc6a5b46c
1532ae88c3ca
hex1c7b766de8

122330443240 has 32 divisors (see below), whose sum is σ = 275302077480. Its totient is φ = 48921763072.

The previous prime is 122330443223. The next prime is 122330443241. The reversal of 122330443240 is 42344033221.

It can be written as a sum of positive squares in 4 ways, for example, as 60063226084 + 62267217156 = 245078^2 + 249534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122330443199 and 122330443208.

It is not an unprimeable number, because it can be changed into a prime (122330443241) 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, 133759 + ... + 512398.

Almost surely, 2122330443240 is an apocalyptic number.

122330443240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122330443240 is an abundant number, since it is smaller than the sum of its proper divisors (152971634240).

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

122330443240 is a wasteful number, since it uses less digits than its factorization.

122330443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650901 (or 650897 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 122330443240 its reverse (42344033221), we get a palindrome (164674476461).

The spelling of 122330443240 in words is "one hundred twenty-two billion, three hundred thirty million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4733 9466 18932 23665 37864 47330 94660 189320 646157 1292314 2584628 3230785 5169256 6461570 12923140 25846280 3058261081 6116522162 12233044324 15291305405 24466088648 30582610810 61165221620 122330443240