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1222122022002 = 2327173491634819
BaseRepresentation
bin10001110010001100001…
…001100010010001110010
311022211111210012021011200
4101302030021202101302
5130010401214201002
62333233552152030
7154203215534010
oct21621411422162
94284453167150
101222122022002
11431332025702
12178a32238616
138b3267c105b
144321858d8b0
1521bcbdbdb1c
hex11c8c262472

1222122022002 has 96 divisors (see below), whose sum is σ = 3213402192000. Its totient is φ = 327695998464.

The previous prime is 1222122021973. The next prime is 1222122022007. The reversal of 1222122022002 is 2002202212221.

1222122022002 is a `hidden beast` number, since 1 + 2 + 221 + 220 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1222122022007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69852 + ... + 1564967.

It is an arithmetic number, because the mean of its divisors is an integer number (33472939500).

Almost surely, 21222122022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222122022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606701096000).

1222122022002 is an abundant number, since it is smaller than the sum of its proper divisors (1991280169998).

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

1222122022002 is a wasteful number, since it uses less digits than its factorization.

1222122022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635200 (or 1635197 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1222122022002 its reverse (2002202212221), we get a palindrome (3224324234223).

The spelling of 1222122022002 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 349 357 698 714 1047 1071 2094 2142 2443 3141 4886 5933 6282 7329 11866 14658 17799 21987 35598 41531 43974 53397 83062 106794 124593 249186 373779 747558 1634819 3269638 4904457 9808914 11443733 14713371 22887466 27791923 29426742 34331199 55583846 68662398 83375769 102993597 166751538 194543461 205987194 250127307 389086922 500254614 570551831 583630383 1141103662 1167260766 1711655493 1750891149 3423310986 3501782298 3993862817 5134966479 7987725634 9699381127 10269932958 11981588451 19398762254 23963176902 29098143381 35944765353 58196286762 67895667889 71889530706 87294430143 135791335778 174588860286 203687003667 407374007334 611061011001 1222122022002