Search a number
-
+
12202121220120 = 23335131269768449
BaseRepresentation
bin1011000110010000011100…
…0110011101000000011000
31121012111210210210221021000
42301210013012131000120
53044404421013020440
641541324353145000
72366400640023516
oct261440706350030
947174723727230
1012202121220120
113984988358087
121450a2985b160
136a68693194a0
1430282b6b14b6
151626126ee730
hexb190719d018

12202121220120 has 256 divisors, whose sum is σ = 43806576240000. Its totient is φ = 3003318632448.

The previous prime is 12202121220103. The next prime is 12202121220131. The reversal of 12202121220120 is 2102212120221.

It is a happy number.

12202121220120 is a `hidden beast` number, since 1 + 2 + 202 + 121 + 220 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12202121220093 and 12202121220102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178231656 + ... + 178300104.

Almost surely, 212202121220120 is an apocalyptic number.

12202121220120 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 12202121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21903288120000).

12202121220120 is an abundant number, since it is smaller than the sum of its proper divisors (31604455019880).

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

12202121220120 is a wasteful number, since it uses less digits than its factorization.

12202121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81179 (or 81169 counting only the distinct ones).

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

Adding to 12202121220120 its reverse (2102212120221), we get a palindrome (14304333340341).

The spelling of 12202121220120 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".