Search a number
-
+
120211122201021 = 33174311353899541
BaseRepresentation
bin11011010101010011010101…
…001111001010000110111101
3120202122001220210110001222000
4123111103111033022012331
5111224014334240413041
61103400121022212513
734214652446243205
oct3325232517120675
9522561823401860
10120211122201021
1135337283648685
1211595879724139
13520cb24a8b187
14219836c351405
15dd6e79256bb6
hex6d54d53ca1bd

120211122201021 has 64 divisors (see below), whose sum is σ = 194659273923840. Its totient is φ = 73020509614080.

The previous prime is 120211122201007. The next prime is 120211122201031. The reversal of 120211122201021 is 120102221112021.

120211122201021 is a `hidden beast` number, since 120 + 211 + 12 + 220 + 102 + 1 = 666.

It is not a de Polignac number, because 120211122201021 - 27 = 120211122200893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120211122200985 and 120211122201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211122201031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24719490 + ... + 29180051.

It is an arithmetic number, because the mean of its divisors is an integer number (3041551155060).

Almost surely, 2120211122201021 is an apocalyptic number.

It is an amenable number.

120211122201021 is a deficient number, since it is larger than the sum of its proper divisors (74448151722819).

120211122201021 is a wasteful number, since it uses less digits than its factorization.

120211122201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53899723 (or 53899717 counting only the distinct ones).

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

Adding to 120211122201021 its reverse (120102221112021), we get a palindrome (240313343313042).

The spelling of 120211122201021 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twenty-two million, two hundred one thousand, twenty-one".

Divisors: 1 3 9 17 27 43 51 113 129 153 339 387 459 731 1017 1161 1921 2193 3051 4859 5763 6579 14577 17289 19737 43731 51867 82603 131193 247809 743427 2230281 53899541 161698623 485095869 916292197 1455287607 2317680263 2748876591 6090648133 6953040789 8246629773 18271944399 20859122367 24739889319 39400564471 54815833197 62577367101 103541018261 118201693413 164447499591 261897869719 310623054783 354605080239 785693609157 931869164349 1063815240717 2357080827471 2795607493047 4452263785223 7071242482413 13356791355669 40070374067007 120211122201021