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1221102200200 = 235273122968053
BaseRepresentation
bin10001110001001111010…
…111001110010110001000
311022201212201012221122211
4101301033113032112020
5130001304130401300
62332544441554504
7154136023305421
oct21611727162610
94281781187584
101221102200200
114309593a3473
121787a87a5a34
138b1c34338bc
144315cd62648
1521b6c5c44ba
hex11c4f5ce588

1221102200200 has 96 divisors (see below), whose sum is σ = 2880337912200. Its totient is φ = 481350850560.

The previous prime is 1221102200189. The next prime is 1221102200221. The reversal of 1221102200200 is 20022011221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 240800229796 + 980301970404 = 490714^2 + 990102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17909374 + ... + 17977426.

Almost surely, 21221102200200 is an apocalyptic number.

1221102200200 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 1221102200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440168956100).

1221102200200 is an abundant number, since it is smaller than the sum of its proper divisors (1659235712000).

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

1221102200200 is a wasteful number, since it uses less digits than its factorization.

1221102200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69371 (or 69362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1221102200200 its reverse (20022011221), we get a palindrome (1241124211421).

The spelling of 1221102200200 in words is "one trillion, two hundred twenty-one billion, one hundred two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1229 1460 1825 2458 2920 3650 4916 6145 7300 9832 12290 14600 24580 30725 49160 61450 68053 89717 122900 136106 179434 245800 272212 340265 358868 448585 544424 680530 717736 897170 1361060 1701325 1794340 2242925 2722120 3402650 3588680 4485850 4967869 6805300 8971700 9935738 13610600 17943400 19871476 24839345 39742952 49678690 83637137 99357380 124196725 167274274 198714760 248393450 334548548 418185685 496786900 669097096 836371370 993573800 1672742740 2090928425 3345485480 4181856850 6105511001 8363713700 12211022002 16727427400 24422044004 30527555005 48844088008 61055110010 122110220020 152637775025 244220440040 305275550050 610551100100 1221102200200