Search a number
-
+
1222022110000 = 2454402130391
BaseRepresentation
bin10001110010000110001…
…100011001101100110000
311022211020211012012200011
4101302012030121230300
5130010200130010000
62333220022504304
7154200563356246
oct21620614315460
94284224165604
101222022110000
114312906942aa
12178a04895094
138b30bbab623
14432091c2796
1521bc32352ba
hex11c86319b30

1222022110000 has 100 divisors (see below), whose sum is σ = 2959470903664. Its totient is φ = 488671200000.

The previous prime is 1222022109989. The next prime is 1222022110019. The reversal of 1222022110000 is 112202221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40194805 + ... + 40225195.

Almost surely, 21222022110000 is an apocalyptic number.

1222022110000 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 1222022110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479735451832).

1222022110000 is an abundant number, since it is smaller than the sum of its proper divisors (1737448793664).

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

1222022110000 is an equidigital number, since it uses as much as digits as its factorization.

1222022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34440 (or 34419 counting only the distinct ones).

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

Adding to 1222022110000 its reverse (112202221), we get a palindrome (1222134312221).

The spelling of 1222022110000 in words is "one trillion, two hundred twenty-two billion, twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 4021 5000 8042 10000 16084 20105 30391 32168 40210 60782 64336 80420 100525 121564 151955 160840 201050 243128 303910 321680 402100 486256 502625 607820 759775 804200 1005250 1215640 1519550 1608400 2010500 2431280 2513125 3039100 3798875 4021000 5026250 6078200 7597750 8042000 10052500 12156400 15195500 18994375 20105000 30391000 37988750 40210000 60782000 75977500 122202211 151955000 244404422 303910000 488808844 611011055 977617688 1222022110 1955235376 2444044220 3055055275 4888088440 6110110550 9776176880 12220221100 15275276375 24440442200 30550552750 48880884400 61101105500 76376381875 122202211000 152752763750 244404422000 305505527500 611011055000 1222022110000