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122001312330 = 23251355570137
BaseRepresentation
bin111000110011111011…
…0000100101001001010
3102122220110222210220100
41301213312010221022
53444324313443310
6132014023310230
711546210021142
oct1614766045112
9378813883810
10122001312330
1147816618757
121b789bab376
13b673a00b51
145c95063922
153290a26ec0
hex1c67d84a4a

122001312330 has 24 divisors (see below), whose sum is σ = 317203412292. Its totient is φ = 32533683264.

The previous prime is 122001312317. The next prime is 122001312359. The reversal of 122001312330 is 33213100221.

122001312330 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 1 + 312 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121708183689 + 293128641 = 348867^2 + 17121^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677784979 + ... + 677785158.

Almost surely, 2122001312330 is an apocalyptic number.

122001312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122001312330 is an abundant number, since it is smaller than the sum of its proper divisors (195202099962).

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

122001312330 is a wasteful number, since it uses less digits than its factorization.

122001312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355570150 (or 1355570147 counting only the distinct ones).

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

Adding to 122001312330 its reverse (33213100221), we get a palindrome (155214412551).

The spelling of 122001312330 in words is "one hundred twenty-two billion, one million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1355570137 2711140274 4066710411 6777850685 8133420822 12200131233 13555701370 20333552055 24400262466 40667104110 61000656165 122001312330