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122080716 = 22338313619
BaseRepresentation
bin1110100011011…
…00110111001100
322111201100021000
413101230313030
5222223040331
620040340300
73011445312
oct721546714
9274640230
10122080716
1162a0305a
1234a74690
131c3a5014
14122dc0b2
15aab70e6
hex746cdcc

122080716 has 48 divisors (see below), whose sum is σ = 320342400. Its totient is φ = 40200336.

The previous prime is 122080669. The next prime is 122080727. The reversal of 122080716 is 617080221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 122080716.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155 + ... + 15773.

It is an arithmetic number, because the mean of its divisors is an integer number (6673800).

Almost surely, 2122080716 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 122080716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160171200).

122080716 is an abundant number, since it is smaller than the sum of its proper divisors (198261684).

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

122080716 is a wasteful number, since it uses less digits than its factorization.

122080716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 122080716 is about 11049.0142546745. The cubic root of 122080716 is about 496.0769207360.

The spelling of 122080716 in words is "one hundred twenty-two million, eighty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 13619 27238 40857 54476 81714 122571 163428 245142 367713 490284 735426 1130377 1470852 2260754 3391131 4521508 6782262 10173393 13564524 20346786 30520179 40693572 61040358 122080716