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122323313011230 = 23353747972685803
BaseRepresentation
bin11011110100000010011101…
…100111101010101000011110
3121001002222212000002120221000
4123310002131213222220132
5112013121121112324410
61112054315413451130
734523365505014422
oct3364023547525036
9531088760076830
10122323313011230
1135a81031261721
12118770b2040aa6
135334067683c36
14222c6a0d4cb82
15e21d9b830dc0
hex6f409d9eaa1e

122323313011230 has 256 divisors, whose sum is σ = 345666842357760. Its totient is φ = 30742420230144.

The previous prime is 122323313011223. The next prime is 122323313011253. The reversal of 122323313011230 is 32110313323221.

122323313011230 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 331 + 301 + 1 + 23 + 0 = 666.

It is a super-2 number, since 2×1223233130112302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122323313011194 and 122323313011203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44201509 + ... + 46887311.

It is an arithmetic number, because the mean of its divisors is an integer number (1350261102960).

Almost surely, 2122323313011230 is an apocalyptic number.

122323313011230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122323313011230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172833421178880).

122323313011230 is an abundant number, since it is smaller than the sum of its proper divisors (223343529346530).

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

122323313011230 is a wasteful number, since it uses less digits than its factorization.

122323313011230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686000 (or 2685994 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122323313011230 its reverse (32110313323221), we get a palindrome (154433626334451).

The spelling of 122323313011230 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, three hundred thirteen million, eleven thousand, two hundred thirty".