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20121200440 = 23511199229799
BaseRepresentation
bin10010101111010100…
…010010011100111000
31220221021120212222221
4102233110102130320
5312202011403230
613124335053424
71311423244645
oct225724223470
956837525887
1020121200440
118595990780
123a96671274
131b88832083
14d8c434dcc
157cb70c27a
hex4af512738

20121200440 has 64 divisors (see below), whose sum is σ = 49636800000. Its totient is φ = 7280000640.

The previous prime is 20121200417. The next prime is 20121200461. The reversal of 20121200440 is 4400212102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27340 + ... + 202459.

It is an arithmetic number, because the mean of its divisors is an integer number (775575000).

Almost surely, 220121200440 is an apocalyptic number.

20121200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121200440 is an abundant number, since it is smaller than the sum of its proper divisors (29515599560).

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

20121200440 is a wasteful number, since it uses less digits than its factorization.

20121200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230020 (or 230016 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20121200440 its reverse (4400212102), we get a palindrome (24521412542).

The spelling of 20121200440 in words is "twenty billion, one hundred twenty-one million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 199 220 398 440 796 995 1592 1990 2189 3980 4378 7960 8756 10945 17512 21890 43780 87560 229799 459598 919196 1148995 1838392 2297990 2527789 4595980 5055578 9191960 10111156 12638945 20222312 25277890 45730001 50555780 91460002 101111560 182920004 228650005 365840008 457300010 503030011 914600020 1006060022 1829200040 2012120044 2515150055 4024240088 5030300110 10060600220 20121200440