Search a number
-
+
120202000012020 = 223517117845098051
BaseRepresentation
bin11011010101001010110101…
…100000110001001011110100
3120202121012101001102212011010
4123111022311200301023310
5111223342144000341040
61103352011514112220
734214210421023043
oct3325126540611364
9522535331385133
10120202000012020
1135333422390003
1211593b5271b670
13520bcccbc87c4
142197b44a1055a
15dd6ae3490e80
hex6d52b58312f4

120202000012020 has 48 divisors (see below), whose sum is σ = 356363576509248. Its totient is φ = 30168345100800.

The previous prime is 120202000011913. The next prime is 120202000012027. The reversal of 120202000012020 is 20210000202021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120202000011987 and 120202000012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202000012027) 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, 58922548006 + ... + 58922550045.

It is an arithmetic number, because the mean of its divisors is an integer number (7424241177276).

Almost surely, 2120202000012020 is an apocalyptic number.

120202000012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202000012020 is an abundant number, since it is smaller than the sum of its proper divisors (236161576497228).

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

120202000012020 is a wasteful number, since it uses less digits than its factorization.

120202000012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117845098080 (or 117845098078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120202000012020 its reverse (20210000202021), we get a palindrome (140412000214041).

It can be divided in two parts, 12020200001 and 2020, that added together give a palindrome (12020202021).

The spelling of 120202000012020 in words is "one hundred twenty trillion, two hundred two billion, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 117845098051 235690196102 353535294153 471380392204 589225490255 707070588306 1178450980510 1414141176612 1767676470765 2003366666867 2356901961020 3535352941530 4006733333734 6010100000601 7070705883060 8013466667468 10016833334335 12020200001202 20033666668670 24040400002404 30050500003005 40067333337340 60101000006010 120202000012020