Search a number
-
+
120112001020 = 22511545963641
BaseRepresentation
bin110111111011100111…
…0111010111111111100
3102111000210220212000101
41233313032322333330
53431442133013040
6131102333010444
711451326106664
oct1576716727774
9374023825011
10120112001020
1146a37103150
121b341323a24
13b43247046b
145b5617d1a4
1531cec2b09a
hex1bf73baffc

120112001020 has 24 divisors (see below), whose sum is σ = 275165675568. Its totient is φ = 43677091200.

The previous prime is 120112001003. The next prime is 120112001029. The reversal of 120112001020 is 20100211021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120112000988 and 120112001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112001029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272981601 + ... + 272982040.

It is an arithmetic number, because the mean of its divisors is an integer number (11465236482).

Almost surely, 2120112001020 is an apocalyptic number.

120112001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112001020 is an abundant number, since it is smaller than the sum of its proper divisors (155053674548).

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

120112001020 is a wasteful number, since it uses less digits than its factorization.

120112001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545963661 (or 545963659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120112001020 its reverse (20100211021), we get a palindrome (140212212041).

The spelling of 120112001020 in words is "one hundred twenty billion, one hundred twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 545963641 1091927282 2183854564 2729818205 5459636410 6005600051 10919272820 12011200102 24022400204 30028000255 60056000510 120112001020