Search a number
-
+
11121012120 = 2335839110459
BaseRepresentation
bin10100101101101110…
…10010110110011000
31001201001010221122210
422112313102312120
5140233434341440
65035305515120
7542406020601
oct122667226630
931631127583
1011121012120
114797581009
1221a44a2aa0
13108301715a
14776db0da8
154514e4a80
hex296dd2d98

11121012120 has 64 divisors (see below), whose sum is σ = 33403104000. Its totient is φ = 2962041728.

The previous prime is 11121012109. The next prime is 11121012157. The reversal of 11121012120 is 2121012111.

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 = 11121012096 and 11121012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45451 + ... + 155909.

It is an arithmetic number, because the mean of its divisors is an integer number (521923500).

Almost surely, 211121012120 is an apocalyptic number.

11121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121012120 is an abundant number, since it is smaller than the sum of its proper divisors (22282091880).

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

11121012120 is a wasteful number, since it uses less digits than its factorization.

11121012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111312 (or 111308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121012120 its reverse (2121012111), we get a palindrome (13242024231).

Subtracting from 11121012120 its reverse (2121012111), we obtain a palindrome (9000000009).

The spelling of 11121012120 in words is "eleven billion, one hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 839 1678 2517 3356 4195 5034 6712 8390 10068 12585 16780 20136 25170 33560 50340 100680 110459 220918 331377 441836 552295 662754 883672 1104590 1325508 1656885 2209180 2651016 3313770 4418360 6627540 13255080 92675101 185350202 278025303 370700404 463375505 556050606 741400808 926751010 1112101212 1390126515 1853502020 2224202424 2780253030 3707004040 5560506060 11121012120