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2200122121032 = 23321117570128663
BaseRepresentation
bin100000000001000001011…
…111110101101101001000
321210022220021220221000200
4200001001133311231020
5242021322230333112
64402415552332200
7314645035316043
oct40010137655510
97708807827020
102200122121032
11779080642360
122b6494544060
1312c616c709c4
14786b4c7dc5a
153c36c025cdc
hex200417f5b48

2200122121032 has 192 divisors, whose sum is σ = 6884182431360. Its totient is φ = 627353856000.

The previous prime is 2200122121031. The next prime is 2200122121051. The reversal of 2200122121032 is 2301212210022.

2200122121032 is a `hidden beast` number, since 2 + 200 + 1 + 221 + 210 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2200122120996 and 2200122121014.

It is not an unprimeable number, because it can be changed into a prime (2200122121031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 76743933 + ... + 76772595.

It is an arithmetic number, because the mean of its divisors is an integer number (35855116830).

Almost surely, 22200122121032 is an apocalyptic number.

2200122121032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200122121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442091215680).

2200122121032 is an abundant number, since it is smaller than the sum of its proper divisors (4684060310328).

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

2200122121032 is a wasteful number, since it uses less digits than its factorization.

2200122121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34404 (or 34397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2200122121032 its reverse (2301212210022), we get a palindrome (4501334331054).

The spelling of 2200122121032 in words is "two trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, thirty-two".