Search a number
-
+
1221301022200 = 2352717148134649
BaseRepresentation
bin10001110001011011001…
…101101010110111111000
311022202101120100011011121
4101301123031222313320
5130002211030202300
62333020303235024
7154143656255410
oct21613315526770
94282346304147
101221301022200
11430a50651376
121788432a8a74
138b22569795c
144317b519640
1521b7ec9981a
hex11c5b36adf8

1221301022200 has 192 divisors, whose sum is σ = 3438483048000. Its totient is φ = 393823027200.

The previous prime is 1221301022129. The next prime is 1221301022233. The reversal of 1221301022200 is 22201031221.

It is a happy number.

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, 35230476 + ... + 35265124.

It is an arithmetic number, because the mean of its divisors is an integer number (17908765875).

Almost surely, 21221301022200 is an apocalyptic number.

1221301022200 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 1221301022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719241524000).

1221301022200 is an abundant number, since it is smaller than the sum of its proper divisors (2217182025800).

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

1221301022200 is a wasteful number, since it uses less digits than its factorization.

1221301022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36170 (or 36161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1221301022200 its reverse (22201031221), we get a palindrome (1243502053421).

The spelling of 1221301022200 in words is "one trillion, two hundred twenty-one billion, three hundred one million, twenty-two thousand, two hundred".