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1222200002000 = 24532819216779
BaseRepresentation
bin10001110010010000110…
…011000000010111010000
311022211201012221001121202
4101302100303000113100
5130011031200031000
62333245415410332
7154205153414645
oct21622063002720
94284635831552
101222200002000
1143137204718a
12178a543839a8
138b3399c4b73
1443224a8bdcc
1521bd3b73dd5
hex11c90cc05d0

1222200002000 has 80 divisors (see below), whose sum is σ = 2956341585600. Its totient is φ = 488704323200.

The previous prime is 1222200001999. The next prime is 1222200002017. The reversal of 1222200002000 is 2000022221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5529611 + ... + 5746389.

It is an arithmetic number, because the mean of its divisors is an integer number (36954269820).

Almost surely, 21222200002000 is an apocalyptic number.

1222200002000 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 1222200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478170792800).

1222200002000 is an abundant number, since it is smaller than the sum of its proper divisors (1734141583600).

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

1222200002000 is a wasteful number, since it uses less digits than its factorization.

1222200002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219621 (or 219605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1222200002000 its reverse (2000022221), we get a palindrome (1224200024221).

The spelling of 1222200002000 in words is "one trillion, two hundred twenty-two billion, two hundred million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2819 5638 11276 14095 22552 28190 45104 56380 70475 112760 140950 216779 225520 281900 352375 433558 563800 704750 867116 1083895 1127600 1409500 1734232 2167790 2819000 3468464 4335580 5419475 5638000 8671160 10838950 17342320 21677900 27097375 43355800 54194750 86711600 108389500 216779000 433558000 611100001 1222200002 2444400004 3055500005 4888800008 6111000010 9777600016 12222000020 15277500025 24444000040 30555000050 48888000080 61110000100 76387500125 122220000200 152775000250 244440000400 305550000500 611100001000 1222200002000