Search a number
-
+
120022100112 = 24317457321851
BaseRepresentation
bin110111111000111011…
…1111110100010010000
3102110210112202102011010
41233301313332202100
53431301124200422
6131045402050520
711446155006135
oct1576167764220
9373715672133
10120022100112
11469a038a282
121b3171a9a40
13b419954665
145b4825a58c
1531c6dbdb0c
hex1bf1dfe890

120022100112 has 80 divisors (see below), whose sum is σ = 329015138112. Its totient is φ = 37571481600.

The previous prime is 120022100087. The next prime is 120022100153. The reversal of 120022100112 is 211001220021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211987 + ... + 533837.

Almost surely, 2120022100112 is an apocalyptic number.

120022100112 is a gapful number since it is divisible by the number (12) 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 120022100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164507569056).

120022100112 is an abundant number, since it is smaller than the sum of its proper divisors (208993038000).

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

120022100112 is a wasteful number, since it uses less digits than its factorization.

120022100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322336 (or 322330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120022100112 its reverse (211001220021), we get a palindrome (331023320133).

The spelling of 120022100112 in words is "one hundred twenty billion, twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 457 816 914 1371 1828 2742 3656 5484 7312 7769 10968 15538 21936 23307 31076 46614 62152 93228 124304 186456 321851 372912 643702 965553 1287404 1931106 2574808 3862212 5149616 5471467 7724424 10942934 15448848 16414401 21885868 32828802 43771736 65657604 87543472 131315208 147085907 262630416 294171814 441257721 588343628 882515442 1176687256 1765030884 2353374512 2500460419 3530061768 5000920838 7060123536 7501381257 10001841676 15002762514 20003683352 30005525028 40007366704 60011050056 120022100112