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122665116 = 223711312923
BaseRepresentation
bin1110100111110…
…11100010011100
322112211000220110
413103323202130
5222400240431
620101050020
73016431150
oct723734234
9275730813
10122665116
1163272132
12350b6910
131c54b012
1412411060
15ab80346
hex74fb89c

122665116 has 48 divisors (see below), whose sum is σ = 330027264. Its totient is φ = 34734336.

The previous prime is 122665097. The next prime is 122665163. The reversal of 122665116 is 611566221.

It is a congruent number.

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, 3031 + ... + 15953.

It is an arithmetic number, because the mean of its divisors is an integer number (6875568).

Almost surely, 2122665116 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 122665116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165013632).

122665116 is an abundant number, since it is smaller than the sum of its proper divisors (207362148).

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

122665116 is a wasteful number, since it uses less digits than its factorization.

122665116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13050 (or 13048 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 122665116 is about 11075.4284792960. The cubic root of 122665116 is about 496.8672338804.

The spelling of 122665116 in words is "one hundred twenty-two million, six hundred sixty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 4746 9492 12923 25846 38769 51692 77538 90461 155076 180922 271383 361844 542766 1085532 1460299 2920598 4380897 5841196 8761794 10222093 17523588 20444186 30666279 40888372 61332558 122665116