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122001123330 = 23251355568037
BaseRepresentation
bin111000110011111010…
…1010110100000000010
3102122220110122012122100
41301213311112200002
53444324241421310
6132014015251230
711546205303132
oct1614765264002
9378813565570
10122001123330
11478164a9759
121b789b19b16
13b673965b08
145c95014ac2
1532909daec0
hex1c67d56802

122001123330 has 24 divisors (see below), whose sum is σ = 317202920892. Its totient is φ = 32533632864.

The previous prime is 122001123301. The next prime is 122001123331. The reversal of 122001123330 is 33321100221.

122001123330 is a `hidden beast` number, since 1 + 220 + 0 + 112 + 3 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121248114849 + 753008481 = 348207^2 + 27441^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122001123331) 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 11 ways as a sum of consecutive naturals, for example, 677783929 + ... + 677784108.

Almost surely, 2122001123330 is an apocalyptic number.

122001123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122001123330 is an abundant number, since it is smaller than the sum of its proper divisors (195201797562).

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

122001123330 is a wasteful number, since it uses less digits than its factorization.

122001123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355568050 (or 1355568047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122001123330 its reverse (33321100221), we get a palindrome (155322223551).

The spelling of 122001123330 in words is "one hundred twenty-two billion, one million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1355568037 2711136074 4066704111 6777840185 8133408222 12200112333 13555680370 20333520555 24400224666 40667041110 61000561665 122001123330