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122120322320 = 2451526504029
BaseRepresentation
bin111000110111011110…
…0000011110100010000
3102200012202221010220202
41301232330003310100
54000100300303240
6132033514154332
711552153420063
oct1615674036420
9380182833822
10122120322320
1147877813717
121b801a229a8
13b69256c269
145ca6ba28da
15329b1d4315
hex1c6ef03d10

122120322320 has 20 divisors (see below), whose sum is σ = 283929749580. Its totient is φ = 48848128896.

The previous prime is 122120322293. The next prime is 122120322349. The reversal of 122120322320 is 23223021221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89779335424 + 32340986896 = 299632^2 + 179836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 = 122120322292 and 122120322301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763251935 + ... + 763252094.

It is an arithmetic number, because the mean of its divisors is an integer number (14196487479).

Almost surely, 2122120322320 is an apocalyptic number.

122120322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120322320 is an abundant number, since it is smaller than the sum of its proper divisors (161809427260).

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

122120322320 is a wasteful number, since it uses less digits than its factorization.

122120322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526504042 (or 1526504036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122120322320 its reverse (23223021221), we get a palindrome (145343343541).

The spelling of 122120322320 in words is "one hundred twenty-two billion, one hundred twenty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1526504029 3053008058 6106016116 7632520145 12212032232 15265040290 24424064464 30530080580 61060161160 122120322320