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1222010022000 = 243531631249499
BaseRepresentation
bin10001110010000101011…
…110010010100001110000
311022211012222110002001110
4101302011132102201300
5130010134031201000
62333214511433320
7154200355542255
oct21620536224160
94284188402043
101222010022000
11431284888419
12178a00825840
138b309538571
144320775742c
1521bc2148850
hex11c85792870

1222010022000 has 160 divisors (see below), whose sum is σ = 3963933792000. Its totient is φ = 323869881600.

The previous prime is 1222010021959. The next prime is 1222010022019. The reversal of 1222010022000 is 2200102221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 353251 + ... + 1602749.

It is an arithmetic number, because the mean of its divisors is an integer number (24774586200).

Almost surely, 21222010022000 is an apocalyptic number.

1222010022000 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 1222010022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981966896000).

1222010022000 is an abundant number, since it is smaller than the sum of its proper divisors (2741923770000).

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

1222010022000 is a wasteful number, since it uses less digits than its factorization.

1222010022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249688 (or 1249672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1222010022000 its reverse (2200102221), we get a palindrome (1224210124221).

The spelling of 1222010022000 in words is "one trillion, two hundred twenty-two billion, ten million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 163 200 240 250 300 326 375 400 489 500 600 652 750 815 978 1000 1200 1304 1500 1630 1956 2000 2445 2608 3000 3260 3912 4075 4890 6000 6520 7824 8150 9780 12225 13040 16300 19560 20375 24450 32600 39120 40750 48900 61125 65200 81500 97800 122250 163000 195600 244500 326000 489000 978000 1249499 2498998 3748497 4997996 6247495 7496994 9995992 12494990 14993988 18742485 19991984 24989980 29987976 31237475 37484970 49979960 59975952 62474950 74969940 93712425 99959920 124949900 149939880 156187375 187424850 203668337 249899800 299879760 312374750 374849700 407336674 468562125 499799600 611005011 624749500 749699400 814673348 937124250 1018341685 1222010022 1249499000 1499398800 1629346696 1874248500 2036683370 2444020044 2498998000 3055025055 3258693392 3748497000 4073366740 4888040088 5091708425 6110050110 7496994000 8146733480 9776080176 10183416850 12220100220 15275125275 16293466960 20366833700 24440200440 25458542125 30550250550 40733667400 48880400880 50917084250 61100501100 76375626375 81467334800 101834168500 122201002200 152751252750 203668337000 244402004400 305502505500 407336674000 611005011000 1222010022000