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20121022200 = 23352108730851
BaseRepresentation
bin10010101111010011…
…100110111011111000
31220221021020211111110
4102233103212323320
5312201440202300
613124331200320
71311421603206
oct225723467370
956837224443
1020121022200
118595879874
123a965a60a0
131b8879bbc6
14d8c3ca076
157cb6c4550
hex4af4e6ef8

20121022200 has 96 divisors (see below), whose sum is σ = 62434575360. Its totient is φ = 5360496000.

The previous prime is 20121022171. The next prime is 20121022213. The reversal of 20121022200 is 222012102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636775 + ... + 667625.

It is an arithmetic number, because the mean of its divisors is an integer number (650360160).

Almost surely, 220121022200 is an apocalyptic number.

20121022200 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 20121022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31217287680).

20121022200 is an abundant number, since it is smaller than the sum of its proper divisors (42313553160).

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

20121022200 is a wasteful number, since it uses less digits than its factorization.

20121022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31957 (or 31948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20121022200 its reverse (222012102), we get a palindrome (20343034302).

The spelling of 20121022200 in words is "twenty billion, one hundred twenty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1087 2174 3261 4348 5435 6522 8696 10870 13044 16305 21740 26088 27175 30851 32610 43480 54350 61702 65220 81525 92553 108700 123404 130440 154255 163050 185106 217400 246808 308510 326100 370212 462765 617020 652200 740424 771275 925530 1234040 1542550 1851060 2313825 3085100 3702120 4627650 6170200 9255300 18510600 33535037 67070074 100605111 134140148 167675185 201210222 268280296 335350370 402420444 503025555 670700740 804840888 838375925 1006051110 1341401480 1676751850 2012102220 2515127775 3353503700 4024204440 5030255550 6707007400 10060511100 20121022200