Search a number
-
+
1200313032120 = 2332537591527349
BaseRepresentation
bin10001011101111000001…
…110110101110110111000
311020202012212201210022200
4101131320032311312320
5124131220114011440
62315225521550200
7152501606301066
oct21357016656670
94222185653280
101200313032120
11423060461824
121747664a5360
138925c3c9507
1442149d31036
1521352420c30
hex117783b5db8

1200313032120 has 192 divisors, whose sum is σ = 4074358860000. Its totient is φ = 306153851904.

The previous prime is 1200313032103. The next prime is 1200313032143. The reversal of 1200313032120 is 212303130021.

1200313032120 is a `hidden beast` number, since 1 + 200 + 313 + 0 + 32 + 120 = 666.

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 = 1200313032093 and 1200313032102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22206 + ... + 1549554.

Almost surely, 21200313032120 is an apocalyptic number.

1200313032120 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 1200313032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037179430000).

1200313032120 is an abundant number, since it is smaller than the sum of its proper divisors (2874045827880).

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

1200313032120 is a wasteful number, since it uses less digits than its factorization.

1200313032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527462 (or 1527455 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1200313032120 its reverse (212303130021), we get a palindrome (1412616162141).

The spelling of 1200313032120 in words is "one trillion, two hundred billion, three hundred thirteen million, thirty-two thousand, one hundred twenty".