Search a number
-
+
122557121140 = 225171201130011
BaseRepresentation
bin111001000100011111…
…0010100001001110100
3102201100012211211020211
41302020332110021310
54001444110334030
6132145120235204
711566036225036
oct1621076241164
9381305754224
10122557121140
1147a81333083
121b90416bb04
13b731bc62bc
145d08bc5c56
1532c471612a
hex1c88f94274

122557121140 has 48 divisors (see below), whose sum is σ = 272541132864. Its totient is φ = 46133772800.

The previous prime is 122557121107. The next prime is 122557121153. The reversal of 122557121140 is 41121755221.

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 15 ways as a sum of consecutive naturals, for example, 4068735 + ... + 4098745.

It is an arithmetic number, because the mean of its divisors is an integer number (5677940268).

Almost surely, 2122557121140 is an apocalyptic number.

122557121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122557121140 is an abundant number, since it is smaller than the sum of its proper divisors (149984011724).

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

122557121140 is a wasteful number, since it uses less digits than its factorization.

122557121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42048 (or 42046 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

Adding to 122557121140 its reverse (41121755221), we get a palindrome (163678876361).

The spelling of 122557121140 in words is "one hundred twenty-two billion, five hundred fifty-seven million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 12011 24022 30011 48044 60022 60055 120044 120110 150055 204187 240220 300110 408374 510187 600220 816748 1020374 1020935 2040748 2041870 2550935 4083740 5101870 10203740 360462121 720924242 1441848484 1802310605 3604621210 6127856057 7209242420 12255712114 24511424228 30639280285 61278560570 122557121140