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122003332020 = 22325677796289
BaseRepresentation
bin111000110011111110…
…1110001101110110100
3102122220121210102101200
41301213331301232310
53444330323111040
6132014134452500
711546233132353
oct1614775615664
9378817712350
10122003332020
1147817778119
121b78a804130
13b67425a22b
145c9542b99a
153290cc5630
hex1c67f71bb4

122003332020 has 36 divisors (see below), whose sum is σ = 370076774340. Its totient is φ = 32534221824.

The previous prime is 122003332001. The next prime is 122003332027. The reversal of 122003332020 is 20233300221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93716801424 + 28286530596 = 306132^2 + 168186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122003331984 and 122003332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003332027) 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 11 ways as a sum of consecutive naturals, for example, 338897965 + ... + 338898324.

Almost surely, 2122003332020 is an apocalyptic number.

122003332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122003332020 is an abundant number, since it is smaller than the sum of its proper divisors (248073442320).

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

122003332020 is a wasteful number, since it uses less digits than its factorization.

122003332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677796304 (or 677796299 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 122003332020 its reverse (20233300221), we get a palindrome (142236632241).

The spelling of 122003332020 in words is "one hundred twenty-two billion, three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 677796289 1355592578 2033388867 2711185156 3388981445 4066777734 6100166601 6777962890 8133555468 10166944335 12200333202 13555925780 20333888670 24400666404 30500833005 40667777340 61001666010 122003332020