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122112001100 = 22521221120011
BaseRepresentation
bin111000110111001110…
…0010100010001001100
3102200012012021101100102
41301232130110101030
54000041133013400
6132033015550232
711552022612005
oct1615634242114
9380165241312
10122112001100
114787304a881
121b7bb08b378
13b69091786b
145ca5a381ac
15329a5dd9d5
hex1c6e71444c

122112001100 has 18 divisors (see below), whose sum is σ = 264983042604. Its totient is φ = 48844800400.

The previous prime is 122112001021. The next prime is 122112001133. The reversal of 122112001100 is 1100211221.

It is a super-2 number, since 2×1221120011002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610559906 + ... + 610560105.

Almost surely, 2122112001100 is an apocalyptic number.

122112001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112001100 is an abundant number, since it is smaller than the sum of its proper divisors (142871041504).

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

122112001100 is a wasteful number, since it uses less digits than its factorization.

122112001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221120025 (or 1221120018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122112001100 its reverse (1100211221), we get a palindrome (123212212321).

The spelling of 122112001100 in words is "one hundred twenty-two billion, one hundred twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1221120011 2442240022 4884480044 6105600055 12211200110 24422400220 30528000275 61056000550 122112001100