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20230122112200 = 2332527111329573797
BaseRepresentation
bin1001001100110001100010…
…01111100000010011001000
32122121222110222211000222100
410212120301033200103020
510122422242230042300
6111005331221353400
74155402166503660
oct446306117402310
978558428730870
1020230122112200
11649a601596a40
122328896b68860
13b39900081430
144dd200a931a0
15251372a05700
hex1266313e04c8

20230122112200 has 1152 divisors, whose sum is σ = 91274340568320. Its totient is φ = 3877969305600.

The previous prime is 20230122112163. The next prime is 20230122112297. The reversal of 20230122112200 is 221122103202.

20230122112200 is a `hidden beast` number, since 2 + 0 + 230 + 1 + 2 + 211 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5327920702 + ... + 5327924498.

It is an arithmetic number, because the mean of its divisors is an integer number (79231198410).

Almost surely, 220230122112200 is an apocalyptic number.

20230122112200 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 20230122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45637170284160).

20230122112200 is an abundant number, since it is smaller than the sum of its proper divisors (71044218456120).

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

20230122112200 is a wasteful number, since it uses less digits than its factorization.

20230122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6795 counting only the distinct ones).

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

Adding to 20230122112200 its reverse (221122103202), we get a palindrome (20451244215402).

The spelling of 20230122112200 in words is "twenty trillion, two hundred thirty billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".