Search a number
-
+
120211022100 = 22352131915710333
BaseRepresentation
bin110111111110100100…
…0101010000100010100
3102111021201020122101210
41233331020222010110
53432143010201400
6131120231221420
711453640554121
oct1577510520424
9374251218353
10120211022100
1146a87a96154
121b36a517870
13b449b30510
145b65397748
1531d878a950
hex1bfd22a114

120211022100 has 288 divisors, whose sum is σ = 396828906880. Its totient is φ = 27851765760.

The previous prime is 120211022059. The next prime is 120211022101. The reversal of 120211022100 is 1220112021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211022101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11628534 + ... + 11638866.

Almost surely, 2120211022100 is an apocalyptic number.

120211022100 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 120211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198414453440).

120211022100 is an abundant number, since it is smaller than the sum of its proper divisors (276617884780).

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

120211022100 is a wasteful number, since it uses less digits than its factorization.

120211022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10532 counting only the distinct ones).

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

Adding to 120211022100 its reverse (1220112021), we get a palindrome (121431134121).

The spelling of 120211022100 in words is "one hundred twenty billion, two hundred eleven million, twenty-two thousand, one hundred".