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12221100020200 = 235261105500101
BaseRepresentation
bin1011000111010111001001…
…0100110101000111101000
31121021022210110202212120111
42301311302110311013220
53100212303101121300
641554143522504104
72400642152122261
oct261656224650750
947238713685514
1012221100020200
113991a373a3525
121454645805034
136a85a22735c6
1430370c0cb968
15162d7399c9ba
hexb1d725351e8

12221100020200 has 24 divisors (see below), whose sum is σ = 28414057547430. Its totient is φ = 4888440008000.

The previous prime is 12221100020197. The next prime is 12221100020201. The reversal of 12221100020200 is 202000112221.

It is a happy number.

12221100020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11009960151876 + 1211139868324 = 3318126^2 + 1100518^2 .

It is not an unprimeable number, because it can be changed into a prime (12221100020201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30552749851 + ... + 30552750250.

Almost surely, 212221100020200 is an apocalyptic number.

12221100020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221100020200 is an abundant number, since it is smaller than the sum of its proper divisors (16192957527230).

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

12221100020200 is a wasteful number, since it uses less digits than its factorization.

12221100020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61105500117 (or 61105500108 counting only the distinct ones).

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

Adding to 12221100020200 its reverse (202000112221), we get a palindrome (12423100132421).

The spelling of 12221100020200 in words is "twelve trillion, two hundred twenty-one billion, one hundred million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61105500101 122211000202 244422000404 305527500505 488844000808 611055001010 1222110002020 1527637502525 2444220004040 3055275005050 6110550010100 12221100020200