Search a number
-
+
122123212332012 = 223229116976257023
BaseRepresentation
bin11011110001001000000110…
…101100001001101111101100
3121000101212100122100212111200
4123301020012230021233230
5112001331314324111022
61111422343525445500
734503053022216123
oct3361100654115754
9530355318325450
10122123212332012
1135a04188685761
1211844368870890
13531b228544078
142222b1b740aba
15e1ba89620bac
hex6f1206b09bec

122123212332012 has 36 divisors (see below), whose sum is σ = 319345181675520. Its totient is φ = 39304022359392.

The previous prime is 122123212332001. The next prime is 122123212332049. The reversal of 122123212332012 is 210233212321221.

122123212332012 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 321 + 2 + 3 + 320 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58488127468 + ... + 58488129555.

Almost surely, 2122123212332012 is an apocalyptic number.

122123212332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122123212332012 is an abundant number, since it is smaller than the sum of its proper divisors (197221969343508).

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

122123212332012 is a wasteful number, since it uses less digits than its factorization.

122123212332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116976257062 (or 116976257057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122123212332012 its reverse (210233212321221), we get a palindrome (332356424653233).

The spelling of 122123212332012 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred twelve million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 116976257023 233952514046 350928771069 467905028092 701857542138 1052786313207 1403715084276 2105572626414 3392311453667 4211145252828 6784622907334 10176934361001 13569245814668 20353868722002 30530803083003 40707737444004 61061606166006 122123212332012