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122252112 = 2433282991
BaseRepresentation
bin1110100100101…
…10101101010000
322112001001101000
413102112231100
5222244031422
620044142000
73013061103
oct722265520
9275031330
10122252112
116300a904
1234b37900
131c435038
141234473a
15aaeccac
hex7496b50

122252112 has 40 divisors (see below), whose sum is σ = 350910080. Its totient is φ = 40750560.

The previous prime is 122252089. The next prime is 122252147. The reversal of 122252112 is 211252221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 141064 + ... + 141927.

It is an arithmetic number, because the mean of its divisors is an integer number (8772752).

Almost surely, 2122252112 is an apocalyptic number.

122252112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122252112 is an abundant number, since it is smaller than the sum of its proper divisors (228657968).

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

122252112 is a wasteful number, since it uses less digits than its factorization.

122252112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283008 (or 282996 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 122252112 is about 11056.7677012769. The cubic root of 122252112 is about 496.3089689604.

The spelling of 122252112 in words is "one hundred twenty-two million, two hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 282991 565982 848973 1131964 1697946 2263928 2546919 3395892 4527856 5093838 6791784 7640757 10187676 13583568 15281514 20375352 30563028 40750704 61126056 122252112