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122560231428 = 22328954769931
BaseRepresentation
bin111001000100100101…
…0001011100000000100
3102201100102200211202200
41302021022023200010
54002000404401203
6132145311034500
711566104530655
oct1621112134004
9381312624680
10122560231428
1147a83067968
121b90520ba30
13b732744bcb
145d0939552c
1532c4b2c9a3
hex1c8928b804

122560231428 has 72 divisors (see below), whose sum is σ = 313863207840. Its totient is φ = 40319959680.

The previous prime is 122560231421. The next prime is 122560231429. The reversal of 122560231428 is 824132065221.

122560231428 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 602 + 3 + 1 + 42 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122560231392 and 122560231401.

It is not an unprimeable number, because it can be changed into a prime (122560231421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1717623 + ... + 1787553.

It is an arithmetic number, because the mean of its divisors is an integer number (4359211220).

Almost surely, 2122560231428 is an apocalyptic number.

122560231428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122560231428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156931603920).

122560231428 is an abundant number, since it is smaller than the sum of its proper divisors (191302976412).

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

122560231428 is a wasteful number, since it uses less digits than its factorization.

122560231428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70577 (or 70572 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 122560231428 its reverse (824132065221), we get a palindrome (946692296649).

The spelling of 122560231428 in words is "one hundred twenty-two billion, five hundred sixty million, two hundred thirty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 547 801 1068 1094 1602 1641 2188 3204 3282 4923 6564 9846 19692 48683 69931 97366 139862 146049 194732 209793 279724 292098 419586 438147 584196 629379 839172 876294 1258758 1752588 2517516 6223859 12447718 18671577 24895436 37343154 38252257 56014731 74686308 76504514 112029462 114756771 153009028 224058924 229513542 344270313 459027084 688540626 1377081252 3404450873 6808901746 10213352619 13617803492 20426705238 30640057857 40853410476 61280115714 122560231428