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2200200122120 = 23571113353915527
BaseRepresentation
bin100000000001000110001…
…001011000111100001000
321210100002201200210101212
4200001012021120330020
5242022002212401440
64402431420232252
7314650003315340
oct40010611307410
97710081623355
102200200122120
11779110678770
122b64b669b688
1312c62a1812b0
14786c1385d20
153c373cd2465
hex20046258f08

2200200122120 has 256 divisors, whose sum is σ = 6649064755200. Its totient is φ = 632804981760.

The previous prime is 2200200122119. The next prime is 2200200122201. The reversal of 2200200122120 is 212210020022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2200200122095 and 2200200122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141693797 + ... + 141709323.

It is an arithmetic number, because the mean of its divisors is an integer number (25972909200).

Almost surely, 22200200122120 is an apocalyptic number.

2200200122120 is a gapful number since it is divisible by the number (20) 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 2200200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324532377600).

2200200122120 is an abundant number, since it is smaller than the sum of its proper divisors (4448864633080).

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

2200200122120 is a wasteful number, since it uses less digits than its factorization.

2200200122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19108 (or 19104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2200200122120 its reverse (212210020022), we get a palindrome (2412410142142).

The spelling of 2200200122120 in words is "two trillion, two hundred billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".