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1221022000200 = 23352193722912641
BaseRepresentation
bin10001110001001010100…
…101010010010001001000
311022201200010022100221110
4101301022211102101020
5130001123113001300
62332532455010320
7154134030520242
oct21611245222110
94281603270843
101221022000200
114309180a5a82
121787859699a0
138b1ac933492
1443152447092
1521b65531550
hex11c4a952448

1221022000200 has 384 divisors, whose sum is σ = 4110268176000. Its totient is φ = 298797465600.

The previous prime is 1221022000193. The next prime is 1221022000267. The reversal of 1221022000200 is 20002201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96585880 + ... + 96598520.

It is an arithmetic number, because the mean of its divisors is an integer number (10703823375).

Almost surely, 21221022000200 is an apocalyptic number.

1221022000200 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 1221022000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055134088000).

1221022000200 is an abundant number, since it is smaller than the sum of its proper divisors (2889246175800).

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

1221022000200 is a wasteful number, since it uses less digits than its factorization.

1221022000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12945 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1221022000200 its reverse (20002201221), we get a palindrome (1241024201421).

The spelling of 1221022000200 in words is "one trillion, two hundred twenty-one billion, twenty-two million, two hundred", and thus it is an aban number.