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2220102123200 = 265213198753717
BaseRepresentation
bin100000010011101000011…
…001011111111011000000
321212020110201211012101222
4200103220121133323000
5242333232120420300
64415522325214212
7316253125453163
oct40235031377300
97766421735358
102220102123200
117865a3852745
122ba32b861368
1313147c4661b0
147964c63bada
153cb3b141785
hex204e865fec0

2220102123200 has 168 divisors, whose sum is σ = 5886127503312. Its totient is φ = 819302215680.

The previous prime is 2220102123191. The next prime is 2220102123257. The reversal of 2220102123200 is 23212010222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41302742 + ... + 41356458.

It is an arithmetic number, because the mean of its divisors is an integer number (35036473234).

Almost surely, 22220102123200 is an apocalyptic number.

2220102123200 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 2220102123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943063751656).

2220102123200 is an abundant number, since it is smaller than the sum of its proper divisors (3666025380112).

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

2220102123200 is a wasteful number, since it uses less digits than its factorization.

2220102123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55739 (or 55724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2220102123200 its reverse (23212010222), we get a palindrome (2243314133422).

The spelling of 2220102123200 in words is "two trillion, two hundred twenty billion, one hundred two million, one hundred twenty-three thousand, two hundred".