Search a number
-
+
122314244212132 = 22735912168150041
BaseRepresentation
bin11011110011111010000001…
…000100111100010110100100
3121001002010102222112212021221
4123303322001010330112210
5112012444033004242012
61112050215453550124
734522624665341050
oct3363720104742644
9531063388485257
10122314244212132
1135a781a814a735
12118753a0aa5344
13533325089591b
14222c080748c60
15e21a1a5b4507
hex6f3e8113c5a4

122314244212132 has 24 divisors (see below), whose sum is σ = 245309904846720. Its totient is φ = 52274372571840.

The previous prime is 122314244212087. The next prime is 122314244212133. The reversal of 122314244212132 is 231212442413221.

It is a happy number.

It is a super-2 number, since 2×1223142442121322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122314244212133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6084064969 + ... + 6084085072.

It is an arithmetic number, because the mean of its divisors is an integer number (10221246035280).

Almost surely, 2122314244212132 is an apocalyptic number.

It is an amenable number.

122314244212132 is an abundant number, since it is smaller than the sum of its proper divisors (122995660634588).

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

122314244212132 is a wasteful number, since it uses less digits than its factorization.

122314244212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168150411 (or 12168150409 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 122314244212132 its reverse (231212442413221), we get a palindrome (353526686625353).

The spelling of 122314244212132 in words is "one hundred twenty-two trillion, three hundred fourteen billion, two hundred forty-four million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 359 718 1436 2513 5026 10052 12168150041 24336300082 48672600164 85177050287 170354100574 340708201148 4368365864719 8736731729438 17473463458876 30578561053033 61157122106066 122314244212132