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20123211200 = 265233137997
BaseRepresentation
bin10010101111011011…
…111101010111000000
31220221102101001020112
4102233123331113000
5312203020224300
613124450130452
71311446321141
oct225733752700
956842331215
1020123211200
118597034464
123a97280a28
131b89087381
14d8c7d9ac8
157cb9a7e35
hex4af6fd5c0

20123211200 has 84 divisors (see below), whose sum is σ = 49666577832. Its totient is φ = 8024755200.

The previous prime is 20123211187. The next prime is 20123211203. The reversal of 20123211200 is 211232102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510602 + ... + 548598.

Almost surely, 220123211200 is an apocalyptic number.

20123211200 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 20123211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24833288916).

20123211200 is an abundant number, since it is smaller than the sum of its proper divisors (29543366632).

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

20123211200 is a wasteful number, since it uses less digits than its factorization.

20123211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38350 (or 38335 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20123211200 its reverse (211232102), we get a palindrome (20334443302).

The spelling of 20123211200 in words is "twenty billion, one hundred twenty-three million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 331 400 662 800 1324 1600 1655 2648 3310 5296 6620 8275 10592 13240 16550 21184 26480 33100 37997 52960 66200 75994 105920 132400 151988 189985 264800 303976 379970 529600 607952 759940 949925 1215904 1519880 1899850 2431808 3039760 3799700 6079520 7599400 12159040 12577007 15198800 25154014 30397600 50308028 60795200 62885035 100616056 125770070 201232112 251540140 314425175 402464224 503080280 628850350 804928448 1006160560 1257700700 2012321120 2515401400 4024642240 5030802800 10061605600 20123211200