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12220011220100 = 22521011209902101
BaseRepresentation
bin1011000111010011000101…
…1011011000110010000100
31121021012222121000002121212
42301310301123120302010
53100203040333020400
641553443510030552
72400603161354045
oct261646133306204
947235877002555
1012220011220100
113991528838932
1214543a1048458
136a845a8146a8
143036476668cc
15162d0d0ca335
hexb1d316d8c84

12220011220100 has 36 divisors (see below), whose sum is σ = 26779973125668. Its totient is φ = 4839608400000.

The previous prime is 12220011220097. The next prime is 12220011220141. The reversal of 12220011220100 is 102211002221.

It can be written as a sum of positive squares in 6 ways, for example, as 274305682564 + 11945705537536 = 523742^2 + 3456256^2 .

It is a super-3 number, since 3×122200112201003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 604940951 + ... + 604961150.

Almost surely, 212220011220100 is an apocalyptic number.

12220011220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220011220100 is an abundant number, since it is smaller than the sum of its proper divisors (14559961905568).

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

12220011220100 is a wasteful number, since it uses less digits than its factorization.

12220011220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209902216 (or 1209902209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220011220100 its reverse (102211002221), we get a palindrome (12322222222321).

The spelling of 12220011220100 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1209902101 2419804202 4839608404 6049510505 12099021010 24198042020 30247552525 60495105050 120990210100 122200112201 244400224402 488800448804 611000561005 1222001122010 2444002244020 3055002805025 6110005610050 12220011220100