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122112210200 = 23525801105251
BaseRepresentation
bin111000110111001110…
…1000111010100011000
3102200012012200000011212
41301232131013110120
54000041211211300
6132033024242252
711552024442431
oct1615635072430
9380165600155
10122112210200
1147873182992
121b7bb170388
13b69098baa6
145ca5a90488
15329a630935
hex1c6e747518

122112210200 has 48 divisors (see below), whose sum is σ = 283962528360. Its totient is φ = 48836000000.

The previous prime is 122112210197. The next prime is 122112210223. The reversal of 122112210200 is 2012211221.

It is a super-2 number, since 2×1221122102002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1107575 + ... + 1212825.

Almost surely, 2122112210200 is an apocalyptic number.

122112210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112210200 is an abundant number, since it is smaller than the sum of its proper divisors (161850318160).

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

122112210200 is a wasteful number, since it uses less digits than its factorization.

122112210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111068 (or 111059 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122112210200 its reverse (2012211221), we get a palindrome (124124421421).

The spelling of 122112210200 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5801 11602 23204 29005 46408 58010 105251 116020 145025 210502 232040 290050 421004 526255 580100 842008 1052510 1160200 2105020 2631275 4210040 5262550 10525100 21050200 610561051 1221122102 2442244204 3052805255 4884488408 6105610510 12211221020 15264026275 24422442040 30528052550 61056105100 122112210200