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122132520 = 23325339257
BaseRepresentation
bin1110100011110…
…01100000101000
322111210222022200
413101321200220
5222231220040
620041420200
73012052326
oct721714050
9274728280
10122132520
1162a38a74
1234a9a660
131c3c2783
1412312d16
15aac7630
hex7479828

122132520 has 48 divisors (see below), whose sum is σ = 396931860. Its totient is φ = 32568576.

The previous prime is 122132459. The next prime is 122132531. The reversal of 122132520 is 25231221.

122132520 is a `hidden beast` number, since 12 + 2 + 132 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108868356 + 13264164 = 10434^2 + 3642^2 .

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 = 122132493 and 122132502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169269 + ... + 169988.

Almost surely, 2122132520 is an apocalyptic number.

122132520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122132520 is an abundant number, since it is smaller than the sum of its proper divisors (274799340).

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

122132520 is a wasteful number, since it uses less digits than its factorization.

122132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339274 (or 339267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122132520 is about 11051.3582875590. The cubic root of 122132520 is about 496.1470796043.

Adding to 122132520 its reverse (25231221), we get a palindrome (147363741).

The spelling of 122132520 in words is "one hundred twenty-two million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 339257 678514 1017771 1357028 1696285 2035542 2714056 3053313 3392570 4071084 5088855 6106626 6785140 8142168 10177710 12213252 13570280 15266565 20355420 24426504 30533130 40710840 61066260 122132520