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10221211122120 = 23325531015303989
BaseRepresentation
bin1001010010111100111110…
…1010000111100111001000
31100012010201202222120210100
42110233033222013213020
52314431020021401440
633423320511045400
72103313066015425
oct224571752074710
940163652876710
1010221211122120
113290878237209
121190b32b10860
13591b18a3c01b
142749d02bcd4c
1512ad25619230
hex94bcfa879c8

10221211122120 has 192 divisors, whose sum is σ = 34180820996400. Its totient is φ = 2647750809600.

The previous prime is 10221211122103. The next prime is 10221211122163. The reversal of 10221211122120 is 2122111212201.

10221211122120 is a `hidden beast` number, since 10 + 221 + 211 + 1 + 221 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7546789168164 + 2674421953956 = 2747142^2 + 1635366^2 .

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 = 10221211122093 and 10221211122102.

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 47 ways as a sum of consecutive naturals, for example, 724915 + ... + 4579074.

Almost surely, 210221211122120 is an apocalyptic number.

10221211122120 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 10221211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17090410498200).

10221211122120 is an abundant number, since it is smaller than the sum of its proper divisors (23959609874280).

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

10221211122120 is a wasteful number, since it uses less digits than its factorization.

10221211122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304160 (or 5304153 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221211122120 its reverse (2122111212201), we get a palindrome (12343322334321).

The spelling of 10221211122120 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".