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1012221012220 = 22511431011079901
BaseRepresentation
bin11101011101011010001…
…00101110100011111100
310120202201102102011121021
432232231010232203330
5113041012034342340
62053001413113524
7133062531433165
oct16565504564374
93522642364537
101012221012220
1136030a4112a0
121442129288a4
13745b5163712
1436dc555676c
151b4e45e1e4a
hexebad12e8fc

1012221012220 has 192 divisors, whose sum is σ = 2418967660032. Its totient is φ = 352598400000.

The previous prime is 1012221012169. The next prime is 1012221012241. The reversal of 1012221012220 is 222101222101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012221012194 and 1012221012203.

It is a congruent number.

It is an unprimeable number.

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, 102229270 + ... + 102239170.

It is an arithmetic number, because the mean of its divisors is an integer number (12598789896).

Almost surely, 21012221012220 is an apocalyptic number.

1012221012220 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 1012221012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209483830016).

1012221012220 is an abundant number, since it is smaller than the sum of its proper divisors (1406746647812).

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

1012221012220 is a wasteful number, since it uses less digits than its factorization.

1012221012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012221012220 its reverse (222101222101), we get a palindrome (1234322234321).

The spelling of 1012221012220 in words is "one trillion, twelve billion, two hundred twenty-one million, twelve thousand, two hundred twenty".