Search a number
-
+
12021020 = 22511101541
BaseRepresentation
bin101101110110…
…110100011100
3211121201201222
4231312310130
511034133040
61105352512
7204114464
oct55666434
924551658
1012021020
116870630
124038738
13264b73b
14184cba4
1510c6bb5
hexb76d1c

12021020 has 48 divisors (see below), whose sum is σ = 27863136. Its totient is φ = 4320000.

The previous prime is 12021017. The next prime is 12021029. The reversal of 12021020 is 2012021.

It is a junction number, because it is equal to n+sod(n) for n = 12020989 and 12021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21950 + ... + 22490.

It is an arithmetic number, because the mean of its divisors is an integer number (580482).

Almost surely, 212021020 is an apocalyptic number.

12021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931568).

12021020 is an abundant number, since it is smaller than the sum of its proper divisors (15842116).

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

12021020 is a wasteful number, since it uses less digits than its factorization.

12021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

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

The square root of 12021020 is about 3467.1342633362. The cubic root of 12021020 is about 229.0764477193.

Adding to 12021020 its reverse (2012021), we get a palindrome (14033041).

It can be divided in two parts, 1202 and 1020, that added together give a palindrome (2222).

The spelling of 12021020 in words is "twelve million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 541 1010 1082 1111 2020 2164 2222 2705 4444 5410 5555 5951 10820 11110 11902 22220 23804 29755 54641 59510 109282 119020 218564 273205 546410 601051 1092820 1202102 2404204 3005255 6010510 12021020