Search a number
-
+
1200321231120 = 24325112915733287
BaseRepresentation
bin10001011101111000101…
…110000111100100010000
311020202020110011100020100
4101131320232013210100
5124131224213343440
62315230413412400
7152502036056634
oct21357056074420
94222213140210
101200321231120
11423065051860
1217476919a100
138926100a3ab
144214b066dc4
1521352ee0230
hex11778b87910

1200321231120 has 480 divisors, whose sum is σ = 4578293041920. Its totient is φ = 279155036160.

The previous prime is 1200321231113. The next prime is 1200321231127. The reversal of 1200321231120 is 211321230021.

1200321231120 is a `hidden beast` number, since 1 + 200 + 321 + 23 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1200321231113) and next prime (1200321231127).

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

It is a junction number, because it is equal to n+sod(n) for n = 1200321231093 and 1200321231102.

It is not an unprimeable number, because it can be changed into a prime (1200321231127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36043117 + ... + 36076403.

It is an arithmetic number, because the mean of its divisors is an integer number (9538110504).

Almost surely, 21200321231120 is an apocalyptic number.

1200321231120 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 1200321231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289146520960).

1200321231120 is an abundant number, since it is smaller than the sum of its proper divisors (3377971810800).

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

1200321231120 is a wasteful number, since it uses less digits than its factorization.

1200321231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33503 (or 33494 counting only the distinct ones).

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

Adding to 1200321231120 its reverse (211321230021), we get a palindrome (1411642461141).

The spelling of 1200321231120 in words is "one trillion, two hundred billion, three hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".