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122110002012 = 22341793141659
BaseRepresentation
bin111000110111001010…
…0101100001101011100
3102200012001111211010010
41301232110230031130
54000040130031022
6132032505043220
711551666614525
oct1615624541534
9380161454103
10122110002012
1147871a04939
121b7ba486510
13b69039797b
145ca567784c
15329a34650c
hex1c6e52c35c

122110002012 has 48 divisors (see below), whose sum is σ = 295567372800. Its totient is φ = 39207891840.

The previous prime is 122110002011. The next prime is 122110002017. The reversal of 122110002012 is 210200011221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110002011) 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 15 ways as a sum of consecutive naturals, for example, 1531962 + ... + 1609697.

It is an arithmetic number, because the mean of its divisors is an integer number (6157653600).

Almost surely, 2122110002012 is an apocalyptic number.

122110002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122110002012 is an abundant number, since it is smaller than the sum of its proper divisors (173457370788).

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

122110002012 is a wasteful number, since it uses less digits than its factorization.

122110002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141786 (or 3141784 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122110002012 its reverse (210200011221), we get a palindrome (332310013233).

The spelling of 122110002012 in words is "one hundred twenty-two billion, one hundred ten million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 41 79 82 123 158 164 237 246 316 474 492 948 3239 6478 9717 12956 19434 38868 3141659 6283318 9424977 12566636 18849954 37699908 128808019 248191061 257616038 386424057 496382122 515232076 744573183 772848114 992764244 1489146366 1545696228 2978292732 10175833501 20351667002 30527500503 40703334004 61055001006 122110002012