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1222011000200 = 2352173275312829
BaseRepresentation
bin10001110010000101100…
…010000001010110001000
311022211020001021202220002
4101302011202001112020
5130010134304001300
62333214544422132
7154200400055204
oct21620542012610
94284201252802
101222011000200
11431285396351
12178a01017948
138b3097bb893
144320792db04
1521bc228d5d5
hex11c85881588

1222011000200 has 96 divisors (see below), whose sum is σ = 2858859376200. Its totient is φ = 485764546560.

The previous prime is 1222011000193. The next prime is 1222011000229. The reversal of 1222011000200 is 20001102221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 751900562884 + 470110437316 = 867122^2 + 685646^2 .

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, 95247386 + ... + 95260214.

Almost surely, 21222011000200 is an apocalyptic number.

1222011000200 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 1222011000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429429688100).

1222011000200 is an abundant number, since it is smaller than the sum of its proper divisors (1636848376000).

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

1222011000200 is a wasteful number, since it uses less digits than its factorization.

1222011000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771 (or 15762 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1222011000200 its reverse (20001102221), we get a palindrome (1242012102421).

The spelling of 1222011000200 in words is "one trillion, two hundred twenty-two billion, eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 2753 3460 4325 5506 6920 8650 11012 12829 13765 17300 22024 25658 27530 34600 51316 55060 64145 68825 102632 110120 128290 137650 256580 275300 320725 476269 513160 550600 641450 952538 1282900 1905076 2219417 2381345 2565800 3810152 4438834 4762690 8877668 9525380 11097085 11906725 17755336 19050760 22194170 23813450 35318237 44388340 47626900 55485425 70636474 88776680 95253800 110970850 141272948 176591185 221941700 282545896 353182370 443883400 706364740 882955925 1412729480 1765911850 3531823700 6110055001 7063647400 12220110002 24440220004 30550275005 48880440008 61100550010 122201100020 152751375025 244402200040 305502750050 611005500100 1222011000200