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122414331220 = 22526332324617
BaseRepresentation
bin111001000000001110…
…1100111010101010100
3102200222021011100022021
41302000131213111110
54001201032044340
6132123015542524
711562353434636
oct1620035472524
9380867140267
10122414331220
1147a08775985
121b88438aa44
13b70b45011c
145cd3c56a56
1532b6e0ce4a
hex1c80767554

122414331220 has 24 divisors (see below), whose sum is σ = 257167840104. Its totient is φ = 48947114496.

The previous prime is 122414331211. The next prime is 122414331271. The reversal of 122414331220 is 22133414221.

It can be written as a sum of positive squares in 4 ways, for example, as 6913589904 + 115500741316 = 83148^2 + 339854^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1109649 + ... + 1214968.

It is an arithmetic number, because the mean of its divisors is an integer number (10715326671).

Almost surely, 2122414331220 is an apocalyptic number.

122414331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122414331220 is an abundant number, since it is smaller than the sum of its proper divisors (134753508884).

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

122414331220 is a wasteful number, since it uses less digits than its factorization.

122414331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327259 (or 2327257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 122414331220 its reverse (22133414221), we get a palindrome (144547745441).

The spelling of 122414331220 in words is "one hundred twenty-two billion, four hundred fourteen million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2633 5266 10532 13165 26330 52660 2324617 4649234 9298468 11623085 23246170 46492340 6120716561 12241433122 24482866244 30603582805 61207165610 122414331220