Search a number
-
+
1221101222000 = 245311317324527
BaseRepresentation
bin10001110001001111010…
…011011111100001110000
311022201212122101020211012
4101301033103133201300
5130001303403101000
62332544405010052
7154136012062502
oct21611723374160
94281778336735
101221101222000
11430958895540
121787a83b3928
138b1c318059a
144315cb89d72
1521b6c47e735
hex11c4f4df870

1221101222000 has 320 divisors, whose sum is σ = 3370632265728. Its totient is φ = 423809280000.

The previous prime is 1221101221987. The next prime is 1221101222021. The reversal of 1221101222000 is 2221011221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49773737 + ... + 49798263.

Almost surely, 21221101222000 is an apocalyptic number.

1221101222000 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 1221101222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685316132864).

1221101222000 is an abundant number, since it is smaller than the sum of its proper divisors (2149531043728).

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

1221101222000 is a wasteful number, since it uses less digits than its factorization.

1221101222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24665 (or 24649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221101222000 its reverse (2221011221), we get a palindrome (1223322233221).

The spelling of 1221101222000 in words is "one trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty-two thousand".