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122032128 = 21239931
BaseRepresentation
bin1110100011000…
…01000000000000
322111121212121110
413101201000000
5222220012003
620035323320
73011153541
oct721410000
9274555543
10122032128
116297a5a9
1234a50540
131c388b7a
14122c84c8
15aaa7a03
hex7461000

122032128 has 52 divisors (see below), whose sum is σ = 325412048. Its totient is φ = 40673280.

The previous prime is 122032123. The next prime is 122032153. The reversal of 122032128 is 821230221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7323 + ... + 17253.

It is an arithmetic number, because the mean of its divisors is an integer number (6257924).

Almost surely, 2122032128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162706024).

122032128 is an abundant number, since it is smaller than the sum of its proper divisors (203379920).

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

122032128 is an frugal number, since it uses more digits than its factorization.

122032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122032128 is about 11046.8152876745. The cubic root of 122032128 is about 496.0110993007.

Adding to 122032128 its reverse (821230221), we get a palindrome (943262349).

The spelling of 122032128 in words is "one hundred twenty-two million, thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 9931 12288 19862 29793 39724 59586 79448 119172 158896 238344 317792 476688 635584 953376 1271168 1906752 2542336 3813504 5084672 7627008 10169344 15254016 20338688 30508032 40677376 61016064 122032128