Search a number
-
+
122003202000000 = 2735620333867
BaseRepresentation
bin11011101111011000010101…
…100001000100010010000000
3120222222101120220202100011010
4123233120111201010102000
5111442400024203000000
61111251255223520520
734461304036222206
oct3357302541042200
9528871526670133
10122003202000000
11359682a3a03a92
12118250555b9140
13530cb1117cca9
14221adb4ca9076
15e188b37c8d50
hex6ef615844480

122003202000000 has 224 divisors, whose sum is σ = 405083591426160. Its totient is φ = 32534185600000.

The previous prime is 122003201999933. The next prime is 122003202000007. The reversal of 122003202000000 is 202300221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122003202000000.

It is not an unprimeable number, because it can be changed into a prime (122003202000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4166934 + ... + 16166933.

Almost surely, 2122003202000000 is an apocalyptic number.

122003202000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122003202000000 is an abundant number, since it is smaller than the sum of its proper divisors (283080389426160).

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

122003202000000 is an frugal number, since it uses more digits than its factorization.

122003202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20333914 (or 20333877 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 122003202000000 its reverse (202300221), we get a palindrome (122003404300221).

The spelling of 122003202000000 in words is "one hundred twenty-two trillion, three billion, two hundred two million", and thus it is an aban number.