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1222221012100 = 2252112311324791
BaseRepresentation
bin10001110010010010000…
…011001001110010000100
311022211202200110111001121
4101302102003021302010
5130011102034341400
62333251450003324
7154205530121614
oct21622203116204
94284680414047
101222221012100
11431382997400
12178a5b416544
138b34116cc8a
144322779aa44
1521bd592421a
hex11c920c9c84

1222221012100 has 108 divisors (see below), whose sum is σ = 2924632436544. Its totient is φ = 443013560000.

The previous prime is 1222221012083. The next prime is 1222221012109. The reversal of 1222221012100 is 12101222221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1222221012109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3600705 + ... + 3925495.

It is an arithmetic number, because the mean of its divisors is an integer number (27079929968).

Almost surely, 21222221012100 is an apocalyptic number.

1222221012100 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 1222221012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462316218272).

1222221012100 is an abundant number, since it is smaller than the sum of its proper divisors (1702411424444).

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

1222221012100 is a wasteful number, since it uses less digits than its factorization.

1222221012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325138 (or 325120 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1222221012100 its reverse (12101222221), we get a palindrome (1234322234321).

The spelling of 1222221012100 in words is "one trillion, two hundred twenty-two billion, two hundred twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 311 484 550 605 622 1100 1210 1244 1555 2420 3025 3110 3421 6050 6220 6842 7775 12100 13684 15550 17105 31100 34210 37631 68420 75262 85525 150524 171050 188155 324791 342100 376310 649582 752620 940775 1299164 1623955 1881550 3247910 3572701 3763100 6495820 7145402 8119775 14290804 16239550 17863505 32479100 35727010 39299711 71454020 78599422 89317525 101010001 157198844 178635050 196498555 202020002 357270100 392997110 404040004 505050005 785994220 982492775 1010100010 1111110011 1964985550 2020200020 2222220022 2525250025 3929971100 4444440044 5050500050 5555550055 10101000100 11111100110 12222210121 22222200220 24444420242 27777750275 48888840484 55555500550 61111050605 111111001100 122222101210 244444202420 305555253025 611110506050 1222221012100