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120221130200 = 23526135927449
BaseRepresentation
bin110111111110110111…
…1001101110111011000
3102111022102021012002212
41233331233031313120
53432203102131300
6131121232014252
711454122513603
oct1577557156730
9374272235085
10120221130200
1146a9276a556
121b371991388
13b44bc5c342
145b6686933a
1531d95d5935
hex1bfdbcddd8

120221130200 has 96 divisors (see below), whose sum is σ = 284898060000. Its totient is φ = 47166643200.

The previous prime is 120221130151. The next prime is 120221130223. The reversal of 120221130200 is 2031122021.

It is a happy number.

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, 4366076 + ... + 4393524.

It is an arithmetic number, because the mean of its divisors is an integer number (2967688125).

Almost surely, 2120221130200 is an apocalyptic number.

120221130200 is a gapful number since it is divisible by the number (10) 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 120221130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142449030000).

120221130200 is an abundant number, since it is smaller than the sum of its proper divisors (164676929800).

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

120221130200 is a wasteful number, since it uses less digits than its factorization.

120221130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27885 (or 27876 counting only the distinct ones).

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

Adding to 120221130200 its reverse (2031122021), we get a palindrome (122252252221).

The spelling of 120221130200 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 359 488 610 718 1220 1436 1525 1795 2440 2872 3050 3590 6100 7180 8975 12200 14360 17950 21899 27449 35900 43798 54898 71800 87596 109495 109796 137245 175192 218990 219592 274490 437980 547475 548980 686225 875960 1094950 1097960 1372450 1674389 2189900 2744900 3348778 4379800 5489800 6697556 8371945 9854191 13395112 16743890 19708382 33487780 39416764 41859725 49270955 66975560 78833528 83719450 98541910 167438900 197083820 246354775 334877800 394167640 492709550 601105651 985419100 1202211302 1970838200 2404422604 3005528255 4808845208 6011056510 12022113020 15027641275 24044226040 30055282550 60110565100 120221130200