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122112310120 = 23528371076069
BaseRepresentation
bin111000110111001110…
…1011111101101101000
3102200012012212002020121
41301232131133231220
54000041222410440
6132033030333024
711552025336643
oct1615635375550
9380165762217
10122112310120
1147873240a69
121b7bb1ba174
13b6909c5408
145ca5ab8a5a
15329a65034a
hex1c6e75fb68

122112310120 has 32 divisors (see below), whose sum is σ = 274849799400. Its totient is φ = 48827661568.

The previous prime is 122112310063. The next prime is 122112310121. The reversal of 122112310120 is 21013211221.

It can be written as a sum of positive squares in 4 ways, for example, as 20265800164 + 101846509956 = 142358^2 + 319134^2 .

It is a super-2 number, since 2×1221123101202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112310094 and 122112310103.

It is not an unprimeable number, because it can be changed into a prime (122112310121) 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, 424555 + ... + 651514.

Almost surely, 2122112310120 is an apocalyptic number.

122112310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112310120 is an abundant number, since it is smaller than the sum of its proper divisors (152737489280).

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

122112310120 is a wasteful number, since it uses less digits than its factorization.

122112310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078917 (or 1078913 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122112310120 its reverse (21013211221), we get a palindrome (143125521341).

The spelling of 122112310120 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2837 5674 11348 14185 22696 28370 56740 113480 1076069 2152138 4304276 5380345 8608552 10760690 21521380 43042760 3052807753 6105615506 12211231012 15264038765 24422462024 30528077530 61056155060 122112310120