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212212120300 = 225217929134371
BaseRepresentation
bin1100010110100011010…
…0111111101011101100
3202021202102112200012021
43011220310333223230
511434102300322200
6241253334115524
721221546155165
oct3055064775354
9667672480167
10212212120300
1181aa9233a04
12351654abba4
131701c3c296b
14a3b1d5876c
1557c064541a
hex3168d3faec

212212120300 has 72 divisors (see below), whose sum is σ = 488117039760. Its totient is φ = 79805030400.

The previous prime is 212212120291. The next prime is 212212120343. The reversal of 212212120300 is 3021212212.

It is a happy 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, 1512115 + ... + 1646485.

It is an arithmetic number, because the mean of its divisors is an integer number (6779403330).

Almost surely, 2212212120300 is an apocalyptic number.

212212120300 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 212212120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244058519880).

212212120300 is an abundant number, since it is smaller than the sum of its proper divisors (275904919460).

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

212212120300 is a wasteful number, since it uses less digits than its factorization.

212212120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135331 (or 135324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212212120300 its reverse (3021212212), we get a palindrome (215233332512).

The spelling of 212212120300 in words is "two hundred twelve billion, two hundred twelve million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 929 1700 1858 3716 4645 9290 15793 18580 23225 31586 46450 63172 78965 92900 134371 157930 268742 315860 394825 537484 671855 789650 1343710 1579300 2284307 2687420 3359275 4568614 6718550 9137228 11421535 13437100 22843070 45686140 57107675 114215350 124830659 228430700 249661318 499322636 624153295 1248306590 2122121203 2496613180 3120766475 4244242406 6241532950 8488484812 10610606015 12483065900 21221212030 42442424060 53053030075 106106060150 212212120300