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122020520 = 23523132631
BaseRepresentation
bin1110100010111…
…10001010101000
322111121021200112
413101132022220
5222214124040
620035153452
73011104646
oct721361250
9274537615
10122020520
1162971906
1234a45888
131c3837bb
14122c4196
15aaa4365
hex745e2a8

122020520 has 32 divisors (see below), whose sum is σ = 286485120. Its totient is φ = 46685760.

The previous prime is 122020519. The next prime is 122020523. The reversal of 122020520 is 25020221.

It is a junction number, because it is equal to n+sod(n) for n = 122020495 and 122020504.

It is not an unprimeable number, because it can be changed into a prime (122020523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65396 + ... + 67235.

It is an arithmetic number, because the mean of its divisors is an integer number (8952660).

Almost surely, 2122020520 is an apocalyptic number.

122020520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020520 is an abundant number, since it is smaller than the sum of its proper divisors (164464600).

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

122020520 is a wasteful number, since it uses less digits than its factorization.

122020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132665 (or 132661 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 122020520 is about 11046.2898748856. The cubic root of 122020520 is about 495.9953715316.

Adding to 122020520 its reverse (25020221), we get a palindrome (147040741).

The spelling of 122020520 in words is "one hundred twenty-two million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 132631 265262 530524 663155 1061048 1326310 2652620 3050513 5305240 6101026 12202052 15252565 24404104 30505130 61010260 122020520