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20122120 = 235503053
BaseRepresentation
bin100110011000…
…0101000001000
31101212022100201
41030300220020
520122401440
61555141544
7333015034
oct114605010
941768321
1020122120
11103a4057
1268a48b4
134226ba5
14295b1c4
151b7719a
hex1330a08

20122120 has 16 divisors (see below), whose sum is σ = 45274860. Its totient is φ = 8048832.

The previous prime is 20122093. The next prime is 20122133. The reversal of 20122120 is 2122102.

It can be written as a sum of positive squares in 2 ways, for example, as 18267076 + 1855044 = 4274^2 + 1362^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20122097 and 20122106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251487 + ... + 251566.

Almost surely, 220122120 is an apocalyptic number.

20122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122120 is an abundant number, since it is smaller than the sum of its proper divisors (25152740).

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

20122120 is a wasteful number, since it uses less digits than its factorization.

20122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503064 (or 503060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20122120 is about 4485.7686074964. The cubic root of 20122120 is about 271.9931154544.

Adding to 20122120 its reverse (2122102), we get a palindrome (22244222).

The spelling of 20122120 in words is "twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 503053 1006106 2012212 2515265 4024424 5030530 10061060 20122120