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20121120300 = 22352433154897
BaseRepresentation
bin10010101111010011…
…111110111000101100
31220221021102211001210
4102233103332320230
5312202001322200
613124333234420
71311422462211
oct225723767054
956837384053
1020121120300
118595936546
123a96632a10
131b88804758
14d8c413b08
157cb6e3650
hex4af4fee2c

20121120300 has 72 divisors (see below), whose sum is σ = 58351935376. Its totient is φ = 5353205760.

The previous prime is 20121120277. The next prime is 20121120301. The reversal of 20121120300 is 302112102.

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

It is not an unprimeable number, because it can be changed into a prime (20121120301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52452 + ... + 207348.

Almost surely, 220121120300 is an apocalyptic number.

20121120300 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 20121120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175967688).

20121120300 is an abundant number, since it is smaller than the sum of its proper divisors (38230815076).

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

20121120300 is a wasteful number, since it uses less digits than its factorization.

20121120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155347 (or 155340 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20121120300 its reverse (302112102), we get a palindrome (20423232402).

The spelling of 20121120300 in words is "twenty billion, one hundred twenty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 866 1299 1732 2165 2598 4330 5196 6495 8660 10825 12990 21650 25980 32475 43300 64950 129900 154897 309794 464691 619588 774485 929382 1548970 1858764 2323455 3097940 3872425 4646910 7744850 9293820 11617275 15489700 23234550 46469100 67070401 134140802 201211203 268281604 335352005 402422406 670704010 804844812 1006056015 1341408020 1676760025 2012112030 3353520050 4024224060 5030280075 6707040100 10060560150 20121120300