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123320122112 = 2811333113147
BaseRepresentation
bin111001011011001110…
…0111011101100000000
3102210022101120021211002
41302312130323230000
54010024422401422
6132352534111132
711623662512465
oct1626634735400
9383271507732
10123320122112
1148332aa2aa0
121ba977ab4a8
13b823cc3575
145d7c27d66c
15331b6d0692
hex1cb673bb00

123320122112 has 72 divisors (see below), whose sum is σ = 268637621952. Its totient is φ = 56033510400.

The previous prime is 123320122111. The next prime is 123320122129. The reversal of 123320122112 is 211221023321.

123320122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (123320122111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9373523 + ... + 9386669.

Almost surely, 2123320122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123320122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134318810976).

123320122112 is an abundant number, since it is smaller than the sum of its proper divisors (145317499840).

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

123320122112 is a wasteful number, since it uses less digits than its factorization.

123320122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16505 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123320122112 its reverse (211221023321), we get a palindrome (334541145433).

The spelling of 123320122112 in words is "one hundred twenty-three billion, three hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3331 6662 13147 13324 26294 26648 36641 52588 53296 73282 105176 106592 144617 146564 210352 213184 289234 293128 420704 426368 578468 586256 841408 852736 1156936 1172512 1682816 2313872 2345024 3365632 4627744 4690048 9255488 9380096 18510976 37021952 43792657 87585314 175170628 350341256 481719227 700682512 963438454 1401365024 1926876908 2802730048 3853753816 5605460096 7707507632 11210920192 15415015264 30830030528 61660061056 123320122112