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122760666 = 23271915101
BaseRepresentation
bin1110101000100…
…10110111011010
322112222212222100
413110102313122
5222411320131
620103104230
73020306550
oct724226732
9275885870
10122760666
11633279a6
1235142076
131c582662
1412437bd0
15ab9d7e6
hex7512dda

122760666 has 48 divisors (see below), whose sum is σ = 305630208. Its totient is φ = 34884000.

The previous prime is 122760661. The next prime is 122760697. The reversal of 122760666 is 666067221.

It is a super-2 number, since 2×1227606662 = 30140362233527112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122760666.

It is not an unprimeable number, because it can be changed into a prime (122760661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21516 + ... + 26616.

It is an arithmetic number, because the mean of its divisors is an integer number (6367296).

Almost surely, 2122760666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122760666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152815104).

122760666 is an abundant number, since it is smaller than the sum of its proper divisors (182869542).

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

122760666 is a wasteful number, since it uses less digits than its factorization.

122760666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 122760666 is about 11079.7412424659. The cubic root of 122760666 is about 496.9962119850.

The spelling of 122760666 in words is "one hundred twenty-two million, seven hundred sixty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 5101 8022 10202 12033 15303 24066 30606 35707 45909 71414 91818 107121 214242 321363 642726 974291 1948582 2922873 5845746 6820037 8768619 13640074 17537238 20460111 40920222 61380333 122760666