Search a number
-
+
2200122121120 = 255711473799603
BaseRepresentation
bin100000000001000001011…
…111110101101110100000
321210022220021220221010221
4200001001133311232200
5242021322230333440
64402415552332424
7314645035316230
oct40010137655640
97708807827127
102200122121120
11779080642430
122b6494544114
1312c616c70a61
14786b4c7dcc0
153c36c025d4a
hex200417f5ba0

2200122121120 has 192 divisors, whose sum is σ = 6618241437696. Its totient is φ = 671161697280.

The previous prime is 2200122121079. The next prime is 2200122121159. The reversal of 2200122121120 is 211212210022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2200122121094 and 2200122121103.

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 31 ways as a sum of consecutive naturals, for example, 1320762 + ... + 2478841.

It is an arithmetic number, because the mean of its divisors is an integer number (34470007488).

Almost surely, 22200122121120 is an apocalyptic number.

2200122121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200122121120 is an abundant number, since it is smaller than the sum of its proper divisors (4418119316576).

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

2200122121120 is a wasteful number, since it uses less digits than its factorization.

2200122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799683 (or 3799675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2200122121120 its reverse (211212210022), we get a palindrome (2411334331142).

The spelling of 2200122121120 in words is "two trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".