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12200527904 = 251722427441
BaseRepresentation
bin10110101110011010…
…10100100000100000
31011111021110000220212
423113031110200200
5144441313343104
65334351353252
7611224530125
oct132715244040
934437400825
1012200527904
1151a0975214
122445b22828
1311c58751a6
1483a4da74c
154b618136e
hex2d7354820

12200527904 has 24 divisors (see below), whose sum is σ = 25432719228. Its totient is φ = 5741424640.

The previous prime is 12200527883. The next prime is 12200527907. The reversal of 12200527904 is 40972500221.

It can be written as a sum of positive squares in 2 ways, for example, as 12199644304 + 883600 = 110452^2 + 940^2 .

It is a super-2 number, since 2×122005279042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12200527907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11213177 + ... + 11214264.

Almost surely, 212200527904 is an apocalyptic number.

It is an amenable number.

12200527904 is an abundant number, since it is smaller than the sum of its proper divisors (13232191324).

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

12200527904 is a wasteful number, since it uses less digits than its factorization.

12200527904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427468 (or 22427460 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 12200527904 its sum of digits (32), we get a square (12200527936 = 1104562).

The spelling of 12200527904 in words is "twelve billion, two hundred million, five hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 22427441 44854882 89709764 179419528 358839056 381266497 717678112 762532994 1525065988 3050131976 6100263952 12200527904