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122300123220 = 2232511243912791
BaseRepresentation
bin111000111100110100…
…1111100100001010100
3102200200022020222101100
41301321221330201110
54000432312420340
6132103420030100
711556465616002
oct1617151744124
9380608228340
10122300123220
114795a25a800
121b852092330
13b6c08a3622
145cc2a07a72
1532abd9d830
hex1c79a7c854

122300123220 has 216 divisors, whose sum is σ = 408728960640. Its totient is φ = 29578665600.

The previous prime is 122300123219. The next prime is 122300123227. The reversal of 122300123220 is 22321003221.

122300123220 is a `hidden beast` number, since 1 + 22 + 300 + 123 + 220 = 666.

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 = 122300123193 and 122300123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300123227) 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 71 ways as a sum of consecutive naturals, for example, 9555025 + ... + 9567815.

Almost surely, 2122300123220 is an apocalyptic number.

122300123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122300123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204364480320).

122300123220 is an abundant number, since it is smaller than the sum of its proper divisors (286428837420).

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

122300123220 is a wasteful number, since it uses less digits than its factorization.

122300123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13267 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122300123220 its reverse (22321003221), we get a palindrome (144621126441).

The spelling of 122300123220 in words is "one hundred twenty-two billion, three hundred million, one hundred twenty-three thousand, two hundred twenty".