Search a number
-
+
123121320320 = 275474093129
BaseRepresentation
bin111001010101010011…
…0100100000110000000
3102202210112111010000202
41302222212210012000
54004123024222240
6132321113104332
711616026645435
oct1625246440600
9382715433022
10123121320320
1148240859299
121ba410b80a8
13b7c1a6877b
145d5dacdb8c
153309011315
hex1caa9a4180

123121320320 has 64 divisors (see below), whose sum is σ = 300599467200. Its totient is φ = 48200675328.

The previous prime is 123121320299. The next prime is 123121320341. The reversal of 123121320320 is 23023121321.

It is an interprime number because it is at equal distance from previous prime (123121320299) and next prime (123121320341).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123121320292 and 123121320301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016485 + ... + 2076644.

It is an arithmetic number, because the mean of its divisors is an integer number (4696866675).

Almost surely, 2123121320320 is an apocalyptic number.

123121320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121320320 is an abundant number, since it is smaller than the sum of its proper divisors (177478146880).

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

123121320320 is an equidigital number, since it uses as much as digits as its factorization.

123121320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093195 (or 4093183 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123121320320 its reverse (23023121321), we get a palindrome (146144441641).

The spelling of 123121320320 in words is "one hundred twenty-three billion, one hundred twenty-one million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 6016 7520 15040 30080 4093129 8186258 16372516 20465645 32745032 40931290 65490064 81862580 130980128 163725160 192377063 261960256 327450320 384754126 523920512 654900640 769508252 961885315 1309801280 1539016504 1923770630 2619602560 3078033008 3847541260 6156066016 7695082520 12312132032 15390165040 24624264064 30780330080 61560660160 123121320320