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122321140220 = 22567251363683
BaseRepresentation
bin111000111101011101…
…0000111100111111100
3102200201202210202021202
41301322322013213330
54001003202441340
6132105450315032
711560142352026
oct1617272074774
9380652722252
10122321140220
1147970105124
121b859128a78
13b6c5051916
145cc5719016
1532adb50c15
hex1c7ae879fc

122321140220 has 48 divisors (see below), whose sum is σ = 261747739008. Its totient is φ = 48006024000.

The previous prime is 122321140199. The next prime is 122321140229. The reversal of 122321140220 is 22041123221.

It is a super-2 number, since 2×1223211402202 (a number of 23 digits) contains 22 as substring.

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 = 122321140192 and 122321140201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321140229) 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 15 ways as a sum of consecutive naturals, for example, 154499 + ... + 518181.

It is an arithmetic number, because the mean of its divisors is an integer number (5453077896).

Almost surely, 2122321140220 is an apocalyptic number.

122321140220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122321140220 is an abundant number, since it is smaller than the sum of its proper divisors (139426598788).

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

122321140220 is a wasteful number, since it uses less digits than its factorization.

122321140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364010 (or 364008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122321140220 its reverse (22041123221), we get a palindrome (144362263441).

The spelling of 122321140220 in words is "one hundred twenty-two billion, three hundred twenty-one million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 251 268 335 502 670 1004 1255 1340 2510 5020 16817 33634 67268 84085 168170 336340 363683 727366 1454732 1818415 3636830 7273660 24366761 48733522 91284433 97467044 121833805 182568866 243667610 365137732 456422165 487335220 912844330 1825688660 6116057011 12232114022 24464228044 30580285055 61160570110 122321140220