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120221121100 = 225229124933191
BaseRepresentation
bin110111111110110111…
…1001011101001001100
3102111022102020201121211
41233331233023221030
53432203101333400
6131121231504204
711454122445223
oct1577557135114
9374272221554
10120221121100
1146a92763733
121b371988064
13b44bc58162
145b66865cba
1531d95d2dba
hex1bfdbcba4c

120221121100 has 72 divisors (see below), whose sum is σ = 270099900000. Its totient is φ = 46391654400.

The previous prime is 120221121089. The next prime is 120221121103. The reversal of 120221121100 is 1121122021.

It is not an unprimeable number, because it can be changed into a prime (120221121103) 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, 3605505 + ... + 3638695.

It is an arithmetic number, because the mean of its divisors is an integer number (3751387500).

Almost surely, 2120221121100 is an apocalyptic number.

120221121100 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 120221121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135049950000).

120221121100 is an abundant number, since it is smaller than the sum of its proper divisors (149878778900).

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

120221121100 is a wasteful number, since it uses less digits than its factorization.

120221121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34483 (or 34476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120221121100 its reverse (1121122021), we get a palindrome (121342243121).

The spelling of 120221121100 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1249 1450 2498 2900 4996 6245 12490 24980 31225 33191 36221 62450 66382 72442 124900 132764 144884 165955 181105 331910 362210 663820 724420 829775 905525 962539 1659550 1811050 1925078 3319100 3622100 3850156 4812695 9625390 19250780 24063475 41455559 48126950 82911118 96253900 165822236 207277795 414555590 829111180 1036388975 1202211211 2072777950 2404422422 4145555900 4808844844 6011056055 12022112110 24044224220 30055280275 60110560550 120221121100