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12175020 = 223251121343
BaseRepresentation
bin101110011100…
…011010101100
3211220112222200
4232130122230
511104100040
61112541500
7205325454
oct56343254
924815880
1012175020
116966300
1240b1890
1326a3870
14188cd64
151107630
hexb9c6ac

12175020 has 216 divisors, whose sum is σ = 44732688. Its totient is φ = 2661120.

The previous prime is 12175003. The next prime is 12175049. The reversal of 12175020 is 2057121.

It is a super-2 number, since 2×121750202 = 296462224000800, which contains 22 as substring.

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 = 12174984 and 12175002.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 283119 + ... + 283161.

Almost surely, 212175020 is an apocalyptic number.

12175020 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 12175020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366344).

12175020 is an abundant number, since it is smaller than the sum of its proper divisors (32557668).

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

12175020 is a wasteful number, since it uses less digits than its factorization.

12175020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12175020 is about 3489.2721304020. The cubic root of 12175020 is about 230.0505245021.

The spelling of 12175020 in words is "twelve million, one hundred seventy-five thousand, twenty".