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122133012 = 22310177751
BaseRepresentation
bin1110100011110…
…01101000010100
322111210222222220
413101321220110
5222231224022
620041422340
73012053631
oct721715024
9274728886
10122133012
1162a39381
1234a9a9b0
131c3c2a71
1412313188
15aac785c
hex7479a14

122133012 has 12 divisors (see below), whose sum is σ = 284977056. Its totient is φ = 40711000.

The previous prime is 122132977. The next prime is 122133019. The reversal of 122133012 is 210331221.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 122132982 and 122133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133019) 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 3 ways as a sum of consecutive naturals, for example, 5088864 + ... + 5088887.

It is an arithmetic number, because the mean of its divisors is an integer number (23748088).

Almost surely, 2122133012 is an apocalyptic number.

122133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122133012 is an abundant number, since it is smaller than the sum of its proper divisors (162844044).

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

122133012 is a wasteful number, since it uses less digits than its factorization.

122133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177758 (or 10177756 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122133012 is about 11051.3805472439. The cubic root of 122133012 is about 496.1477458315.

Adding to 122133012 its reverse (210331221), we get a palindrome (332464233).

It can be divided in two parts, 12213 and 3012, that added together give a triangular number (15225 = T174).

The spelling of 122133012 in words is "one hundred twenty-two million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 10177751 20355502 30533253 40711004 61066506 122133012