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220012021211220 = 2232571714297187779
BaseRepresentation
bin110010000001100110001010…
…010111101110000001010100
31001211222221111001010100220100
4302001212022113232001110
5212314134104412224340
62055532043251534100
764225225662055440
oct6201461227560124
91054887431110810
10220012021211220
11641146352aa297
12208139788ba330
13959c076c22c44
143c488d2621820
151a6803e485830
hexc8198a5ee054

220012021211220 has 288 divisors, whose sum is σ = 808138781049600. Its totient is φ = 47297189302272.

The previous prime is 220012021211201. The next prime is 220012021211263. The reversal of 220012021211220 is 22112120210022.

It is a happy number.

220012021211220 is a `hidden beast` number, since 2 + 200 + 1 + 20 + 212 + 11 + 220 = 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 = 220012021211193 and 220012021211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27015291 + ... + 34203069.

It is an arithmetic number, because the mean of its divisors is an integer number (2806037434200).

Almost surely, 2220012021211220 is an apocalyptic number.

220012021211220 is a gapful number since it is divisible by the number (20) 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 220012021211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404069390524800).

220012021211220 is an abundant number, since it is smaller than the sum of its proper divisors (588126759838380).

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

220012021211220 is a wasteful number, since it uses less digits than its factorization.

220012021211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7189247 (or 7189242 counting only the distinct ones).

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

Adding to 220012021211220 its reverse (22112120210022), we get a palindrome (242124141421242).

The spelling of 220012021211220 in words is "two hundred twenty trillion, twelve billion, twenty-one million, two hundred eleven thousand, two hundred twenty".