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1221022120122 = 2347410131081
BaseRepresentation
bin10001110001001010100…
…101101111100010111010
311022201200010112110110000
4101301022211233202322
5130001123130320442
62332532501333430
7154134031530000
oct21611245574272
94281603473400
101221022120122
11430918178092
12178785a07276
138b1ac975c3c
1443152478a70
1521b65556d4c
hex11c4a96f8ba

1221022120122 has 200 divisors, whose sum is σ = 3223508811732. Its totient is φ = 345398256000.

The previous prime is 1221022120099. The next prime is 1221022120159. The reversal of 1221022120122 is 2210212201221.

It is a happy number.

1221022120122 is a `hidden beast` number, since 1 + 221 + 0 + 221 + 201 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1177878260601 + 43143859521 = 1085301^2 + 207711^2 .

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 = 1221022120095 and 1221022120104.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 39269622 + ... + 39300702.

Almost surely, 21221022120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221022120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611754405866).

1221022120122 is an abundant number, since it is smaller than the sum of its proper divisors (2002486691610).

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

1221022120122 is an equidigital number, since it uses as much as digits as its factorization.

1221022120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31224 (or 31194 counting only the distinct ones).

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

Adding to 1221022120122 its reverse (2210212201221), we get a palindrome (3431234321343).

The spelling of 1221022120122 in words is "one trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred twenty-two".