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20123211330200 = 2352111915124113229
BaseRepresentation
bin1001001001101010011001…
…10111001111001010011000
32122020202112012022121000202
410210311030313033022120
510114144314100031300
6110444250424321332
74144565636033666
oct444651467171230
978222465277022
1020123211330200
11645922a204060
12231001a913248
13b2c7c28a5a94
144d7d7bc9bc36
1524d6b6c26ad5
hex124d4cdcf298

20123211330200 has 384 divisors, whose sum is σ = 54310398912000. Its totient is φ = 6857395200000.

The previous prime is 20123211330199. The next prime is 20123211330221. The reversal of 20123211330200 is 203311232102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1521137186 + ... + 1521150414.

It is an arithmetic number, because the mean of its divisors is an integer number (141433330500).

Almost surely, 220123211330200 is an apocalyptic number.

20123211330200 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 20123211330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27155199456000).

20123211330200 is an abundant number, since it is smaller than the sum of its proper divisors (34187187581800).

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

20123211330200 is a wasteful number, since it uses less digits than its factorization.

20123211330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13667 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20123211330200 its reverse (203311232102), we get a palindrome (20326522562302).

The spelling of 20123211330200 in words is "twenty trillion, one hundred twenty-three billion, two hundred eleven million, three hundred thirty thousand, two hundred".