Search a number
-
+
1223321121000 = 2332531137337991
BaseRepresentation
bin10001110011010011100…
…111101111000011101000
311022221121100111210202200
4101303103213233003220
5130020330201333000
62333552545100200
7154245015650316
oct21632347570350
94287540453680
101223321121000
11431897976510
12179107927660
138b48805b3a4
14432cd9270b6
1521c4c2cc500
hex11cd39ef0e8

1223321121000 has 768 divisors, whose sum is σ = 4651065169920. Its totient is φ = 287400960000.

The previous prime is 1223321120981. The next prime is 1223321121013. The reversal of 1223321121000 is 1211233221.

1223321121000 is a `hidden beast` number, since 1 + 223 + 321 + 121 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1234430505 + ... + 1234431495.

It is an arithmetic number, because the mean of its divisors is an integer number (6056074440).

Almost surely, 21223321121000 is an apocalyptic number.

1223321121000 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 1223321121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325532584960).

1223321121000 is an abundant number, since it is smaller than the sum of its proper divisors (3427744048920).

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

1223321121000 is a wasteful number, since it uses less digits than its factorization.

1223321121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1223321121000 its reverse (1211233221), we get a palindrome (1224532354221).

The spelling of 1223321121000 in words is "one trillion, two hundred twenty-three billion, three hundred twenty-one million, one hundred twenty-one thousand".