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1222012002100 = 2252293131346273
BaseRepresentation
bin10001110010000101100…
…101110101111100110100
311022211020010011200020111
4101302011211311330310
5130010140033031400
62333215022112404
7154200411430201
oct21620545657464
94284203150214
101222012002100
11431285a1006a
12178a0141b704
138b309a7c916
1443207b10ca8
1521bc23da3ba
hex11c85975f34

1222012002100 has 72 divisors (see below), whose sum is σ = 2751972534360. Its totient is φ = 470441287680.

The previous prime is 1222012002091. The next prime is 1222012002121. The reversal of 1222012002100 is 12002102221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1047277969956 + 174734032144 = 1023366^2 + 418012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234564 + ... + 1580836.

It is an arithmetic number, because the mean of its divisors is an integer number (38221840755).

Almost surely, 21222012002100 is an apocalyptic number.

1222012002100 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 1222012002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375986267180).

1222012002100 is an abundant number, since it is smaller than the sum of its proper divisors (1529960532260).

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

1222012002100 is a wasteful number, since it uses less digits than its factorization.

1222012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346629 (or 1346622 counting only the distinct ones).

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

Adding to 1222012002100 its reverse (12002102221), we get a palindrome (1234014104321).

The spelling of 1222012002100 in words is "one trillion, two hundred twenty-two billion, twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 313 580 626 725 1252 1450 1565 2900 3130 6260 7825 9077 15650 18154 31300 36308 45385 90770 181540 226925 453850 907700 1346273 2692546 5385092 6731365 13462730 26925460 33656825 39041917 67313650 78083834 134627300 156167668 195209585 390419170 421383449 780838340 842766898 976047925 1685533796 1952095850 2106917245 3904191700 4213834490 8427668980 10534586225 12220120021 21069172450 24440240042 42138344900 48880480084 61100600105 122201200210 244402400420 305503000525 611006001050 1222012002100