Search a number
-
+
1212321132000 = 253253113797853
BaseRepresentation
bin10001101001000011111…
…110000110110111100000
311021220012202002110121200
4101221003332012313200
5124330313202211000
62324533241121200
7153405306411456
oct21510376066740
94256182073550
101212321132000
11428162745a10
12176b57a89200
138a424138a64
1442968a5a9d6
1521806741500
hex11a43f86de0

1212321132000 has 1152 divisors, whose sum is σ = 4875928057728. Its totient is φ = 282673152000.

The previous prime is 1212321131999. The next prime is 1212321132007. The reversal of 1212321132000 is 2311232121.

1212321132000 is a `hidden beast` number, since 1 + 21 + 2 + 321 + 1 + 320 + 0 + 0 = 666.

It is a super-3 number, since 3×12123211320003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212321132007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1421243574 + ... + 1421244426.

It is an arithmetic number, because the mean of its divisors is an integer number (4232576439).

Almost surely, 21212321132000 is an apocalyptic number.

1212321132000 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 1212321132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437964028864).

1212321132000 is an abundant number, since it is smaller than the sum of its proper divisors (3663606925728).

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

1212321132000 is a wasteful number, since it uses less digits than its factorization.

1212321132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1008 counting only the distinct ones).

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

Adding to 1212321132000 its reverse (2311232121), we get a palindrome (1214632364121).

The spelling of 1212321132000 in words is "one trillion, two hundred twelve billion, three hundred twenty-one million, one hundred thirty-two thousand".