Search a number
-
+
122020021202220 = 2232523592711843357
BaseRepresentation
bin11011101111101000000000…
…000001001110110100101100
3121000001000000002001100010200
4123233220000001032310230
5111443134000411432340
61111303120205433500
734462440606123201
oct3357500001166454
9530030002040120
10122020021202220
1135974444a05609
121182836a26b890
13531159188035b
14221bb2c963ca8
15e1904a18b330
hex6efa0004ed2c

122020021202220 has 288 divisors, whose sum is σ = 394215527946240. Its totient is φ = 30483504437760.

The previous prime is 122020021202213. The next prime is 122020021202347. The reversal of 122020021202220 is 22202120020221.

122020021202220 is a `hidden beast` number, since 1 + 2 + 20 + 200 + 21 + 202 + 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 = 122020021202193 and 122020021202202.

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, 65272782 + ... + 67116138.

It is an arithmetic number, because the mean of its divisors is an integer number (1368803916480).

Almost surely, 2122020021202220 is an apocalyptic number.

122020021202220 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 122020021202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197107763973120).

122020021202220 is an abundant number, since it is smaller than the sum of its proper divisors (272195506744020).

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

122020021202220 is a wasteful number, since it uses less digits than its factorization.

122020021202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843725 (or 1843720 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122020021202220 its reverse (22202120020221), we get a palindrome (144222141222441).

The spelling of 122020021202220 in words is "one hundred twenty-two trillion, twenty billion, twenty-one million, two hundred two thousand, two hundred twenty".