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122056704 = 2123271143
BaseRepresentation
bin1110100011001…
…11000000000000
322111200010022200
413101213000000
5222221303304
620040033200
73011315310
oct721470000
9274603280
10122056704
1162997010
1234a62800
131c397103
14122d3440
15aaaee39
hex7467000

122056704 has 312 divisors, whose sum is σ = 449784192. Its totient is φ = 30965760.

The previous prime is 122056681. The next prime is 122056717. The reversal of 122056704 is 407650221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838507 + ... + 2838549.

It is an arithmetic number, because the mean of its divisors is an integer number (1441616).

Almost surely, 2122056704 is an apocalyptic number.

122056704 is a gapful number since it is divisible by the number (14) 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 122056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224892096).

122056704 is an abundant number, since it is smaller than the sum of its proper divisors (327727488).

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

122056704 is a wasteful number, since it uses less digits than its factorization.

122056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 122056704 is about 11047.9275884665. The cubic root of 122056704 is about 496.0443942227.

It can be divided in two parts, 122056 and 704, that added together give a triangular number (122760 = T495).

The spelling of 122056704 in words is "one hundred twenty-two million, fifty-six thousand, seven hundred four".