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12221097800 = 235278172
BaseRepresentation
bin10110110000110111…
…10010011101001000
31011112201011002111212
423120123302131020
5200012100112200
65340404312252
7611564421512
oct133033623510
934481132455
1012221097800
11520154472a
1224509a2688
1311c9bc7b22
1483d132bb2
154b7d96035
hex2d86f2748

12221097800 has 36 divisors (see below), whose sum is σ = 28417687755. Its totient is φ = 4887813760.

The previous prime is 12221097797. The next prime is 12221097841. The reversal of 12221097800 is 879012221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12221097800 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 5 ways, for example, as 107453956 + 12113643844 = 10366^2 + 110062^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78170.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1559492 + ... + 1567308.

Almost surely, 212221097800 is an apocalyptic number.

12221097800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221097800 is an abundant number, since it is smaller than the sum of its proper divisors (16196589955).

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

12221097800 is an frugal number, since it uses more digits than its factorization.

12221097800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15650 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

Multiplying 12221097800 by its sum of digits (32), we get a square (391075129600 = 6253602).

The spelling of 12221097800 in words is "twelve billion, two hundred twenty-one million, ninety-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7817 15634 31268 39085 62536 78170 156340 195425 312680 390850 781700 1563400 61105489 122210978 244421956 305527445 488843912 611054890 1222109780 1527637225 2444219560 3055274450 6110548900 12221097800