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122000002212 = 2231119296012791
BaseRepresentation
bin111000110011111000…
…1000100110010100100
3102122220101112020202110
41301213301010302210
53444324000032322
6132013535241020
711546162623434
oct1614761046244
9378811466673
10122000002212
1147815903410
121b789679170
13b67366272a
145c94c022c4
153290868c0c
hex1c67c44ca4

122000002212 has 192 divisors, whose sum is σ = 338846054400. Its totient is φ = 33747840000.

The previous prime is 122000002151. The next prime is 122000002219. The reversal of 122000002212 is 212200000221.

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

It is not an unprimeable number, because it can be changed into a prime (122000002219) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43710537 + ... + 43713327.

It is an arithmetic number, because the mean of its divisors is an integer number (1764823200).

Almost surely, 2122000002212 is an apocalyptic number.

122000002212 is a gapful number since it is divisible by the number (12) 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 122000002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169423027200).

122000002212 is an abundant number, since it is smaller than the sum of its proper divisors (216846052188).

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

122000002212 is a wasteful number, since it uses less digits than its factorization.

122000002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122000002212 its reverse (212200000221), we get a palindrome (334200002433).

It can be divided in two parts, 12200000221 and 2, that multiplied together give a palindrome (24400000442).

The spelling of 122000002212 in words is "one hundred twenty-two billion, two thousand, two hundred twelve".