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120212200100 = 225219487129917
BaseRepresentation
bin110111111110100110…
…1001001101010100100
3102111021210110111022102
41233331031021222210
53432143310400400
6131120312351232
711453653561406
oct1577515115244
9374253414272
10120212200100
1146a88720203
121b36a9a5518
13b44a153765
145b655c2b76
1531d891e9d5
hex1bfd349aa4

120212200100 has 72 divisors (see below), whose sum is σ = 275155930560. Its totient is φ = 45460206720.

The previous prime is 120212200099. The next prime is 120212200151. The reversal of 120212200100 is 1002212021.

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, 860342 + ... + 990258.

Almost surely, 2120212200100 is an apocalyptic number.

120212200100 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 120212200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137577965280).

120212200100 is an abundant number, since it is smaller than the sum of its proper divisors (154943730460).

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

120212200100 is a wasteful number, since it uses less digits than its factorization.

120212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130437 (or 130430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120212200100 its reverse (1002212021), we get a palindrome (121214412121).

The spelling of 120212200100 in words is "one hundred twenty billion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 487 950 974 1900 1948 2435 4870 9253 9740 12175 18506 24350 37012 46265 48700 92530 129917 185060 231325 259834 462650 519668 649585 925300 1299170 2468423 2598340 3247925 4936846 6495850 9873692 12342115 12991700 24684230 49368460 61710575 63269579 123421150 126539158 246842300 253078316 316347895 632695790 1202122001 1265391580 1581739475 2404244002 3163478950 4808488004 6010610005 6326957900 12021220010 24042440020 30053050025 60106100050 120212200100