Search a number
-
+
120221002201212 = 2233116712131245169
BaseRepresentation
bin11011010101011100100010…
…001000010111100001111100
3120202200000102100102002022000
4123111130202020113201330
5111224200103030414322
61103404433241022300
734215452335664403
oct3325344210274174
9522600370362260
10120221002201212
1135340493650aa0
1211597776484990
135210a3a951833
142198a2859863a
15dd735680e3ac
hex6d572221787c

120221002201212 has 192 divisors, whose sum is σ = 345378680102400. Its totient is φ = 35857252316160.

The previous prime is 120221002201193. The next prime is 120221002201213. The reversal of 120221002201212 is 212102200122021.

It is a happy number.

120221002201212 is a `hidden beast` number, since 1 + 20 + 2 + 210 + 0 + 220 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221002201213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95927364 + ... + 97172532.

It is an arithmetic number, because the mean of its divisors is an integer number (1798847292200).

Almost surely, 2120221002201212 is an apocalyptic number.

120221002201212 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 120221002201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172689340051200).

120221002201212 is an abundant number, since it is smaller than the sum of its proper divisors (225157677901188).

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

120221002201212 is a wasteful number, since it uses less digits than its factorization.

120221002201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246473 (or 1246465 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120221002201212 its reverse (212102200122021), we get a palindrome (332323202323233).

The spelling of 120221002201212 in words is "one hundred twenty trillion, two hundred twenty-one billion, two million, two hundred one thousand, two hundred twelve".