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1222002121000 = 235323157338411
BaseRepresentation
bin10001110010000101000…
…000001001100100101000
311022211012102120122220211
4101302011000021210220
5130010130020333000
62333214030230504
7154200231434263
oct21620500114450
94284172518824
101222002121000
11431280381271
121789ba055434
138b307a0020b
144320669bcda
1521bc15d77ba
hex11c85009928

1222002121000 has 128 divisors (see below), whose sum is σ = 3002824431360. Its totient is φ = 464569248000.

The previous prime is 1222002120991. The next prime is 1222002121037. The reversal of 1222002121000 is 1212002221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3441795 + ... + 3780205.

It is an arithmetic number, because the mean of its divisors is an integer number (23459565870).

Almost surely, 21222002121000 is an apocalyptic number.

1222002121000 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 1222002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501412215680).

1222002121000 is an abundant number, since it is smaller than the sum of its proper divisors (1780822310360).

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

1222002121000 is a wasteful number, since it uses less digits than its factorization.

1222002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338612 (or 338598 counting only the distinct ones).

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

Adding to 1222002121000 its reverse (1212002221), we get a palindrome (1223214123221).

The spelling of 1222002121000 in words is "one trillion, two hundred twenty-two billion, two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 157 184 200 230 250 314 460 500 575 628 785 920 1000 1150 1256 1570 2300 2875 3140 3611 3925 4600 5750 6280 7222 7850 11500 14444 15700 18055 19625 23000 28888 31400 36110 39250 72220 78500 90275 144440 157000 180550 338411 361100 451375 676822 722200 902750 1353644 1692055 1805500 2707288 3384110 3611000 6768220 7783453 8460275 13536440 15566906 16920550 31133812 33841100 38917265 42301375 53130527 62267624 67682200 77834530 84602750 106261054 155669060 169205500 194586325 212522108 265652635 311338120 338411000 389172650 425044216 531305270 778345300 972931625 1062610540 1222002121 1328263175 1556690600 1945863250 2125221080 2444004242 2656526350 3891726500 4888008484 5313052700 6110010605 6641315875 7783453000 9776016968 10626105400 12220021210 13282631750 24440042420 26565263500 30550053025 48880084840 53130527000 61100106050 122200212100 152750265125 244400424200 305500530250 611001060500 1222002121000