Search a number
-
+
120121020011124 = 223211303335909119
BaseRepresentation
bin11011010011111111011010…
…101110100101001001110100
3120202022110100102021120122200
4123103333122232211021310
5111221030322110323444
61103250500151424500
734205312566254006
oct3323773256451164
9522273312246580
10120121020011124
113530204727a830
1211580312685130
135204495a39702
142193c61a52376
15dd4953e41969
hex6d3fdaba5274

120121020011124 has 36 divisors (see below), whose sum is σ = 331242812759040. Its totient is φ = 36400309094160.

The previous prime is 120121020011123. The next prime is 120121020011207. The reversal of 120121020011124 is 421110020121021.

120121020011124 is a `hidden beast` number, since 120 + 1 + 210 + 200 + 11 + 124 = 666.

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 = 120121020011097 and 120121020011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121020011123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151667954164 + ... + 151667954955.

Almost surely, 2120121020011124 is an apocalyptic number.

It is an amenable number.

120121020011124 is an abundant number, since it is smaller than the sum of its proper divisors (211121792747916).

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

120121020011124 is a wasteful number, since it uses less digits than its factorization.

120121020011124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303335909140 (or 303335909135 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120121020011124 its reverse (421110020121021), we get a palindrome (541231040132145).

The spelling of 120121020011124 in words is "one hundred twenty trillion, one hundred twenty-one billion, twenty million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 303335909119 606671818238 910007727357 1213343636476 1820015454714 2730023182071 3336695000309 3640030909428 5460046364142 6673390000618 10010085000927 10920092728284 13346780001236 20020170001854 30030255002781 40040340003708 60060510005562 120121020011124