Search a number
-
+
1221001320 = 2335711241293
BaseRepresentation
bin100100011000111…
…0000000001101000
310011002112021221010
41020301300001220
510000034020240
6321054143520
742154224420
oct11061600150
93132467833
101221001320
11577250400
122a0ab1ba0
13165c685b6
14b8239480
15722d8280
hex48c70068

1221001320 has 384 divisors, whose sum is σ = 4729777920. Its totient is φ = 246681600.

The previous prime is 1221001277. The next prime is 1221001337. The reversal of 1221001320 is 231001221.

1221001320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 1221001296 and 1221001305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4167094 + ... + 4167386.

It is an arithmetic number, because the mean of its divisors is an integer number (12317130).

Almost surely, 21221001320 is an apocalyptic number.

1221001320 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 1221001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364888960).

1221001320 is an abundant number, since it is smaller than the sum of its proper divisors (3508776600).

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

1221001320 is a wasteful number, since it uses less digits than its factorization.

1221001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1221001320 is about 34942.8293073128. The cubic root of 1221001320 is about 1068.8219835925.

Adding to 1221001320 its reverse (231001221), we get a palindrome (1452002541).

Subtracting from 1221001320 its reverse (231001221), we obtain a palindrome (990000099).

The spelling of 1221001320 in words is "one billion, two hundred twenty-one million, one thousand, three hundred twenty".