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122339424 = 2531578117
BaseRepresentation
bin1110100101011…
…00000001100000
322112012111010210
413102230001200
5222304330144
620050054120
73013603464
oct722540140
9275174123
10122339424
116306a469
1234b7a340
131c4659bc
14123684a4
15ab18ab9
hex74ac060

122339424 has 48 divisors (see below), whose sum is σ = 323226288. Its totient is φ = 40515072.

The previous prime is 122339417. The next prime is 122339431. The reversal of 122339424 is 424933221.

It is an interprime number because it is at equal distance from previous prime (122339417) and next prime (122339431).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 122339391 and 122339400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11014 + ... + 19130.

It is an arithmetic number, because the mean of its divisors is an integer number (6733881).

Almost surely, 2122339424 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 122339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161613144).

122339424 is an abundant number, since it is smaller than the sum of its proper divisors (200886864).

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

122339424 is a wasteful number, since it uses less digits than its factorization.

122339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8279 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 122339424 is about 11060.7153475713. The cubic root of 122339424 is about 496.4270948448.

The spelling of 122339424 in words is "one hundred twenty-two million, three hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 8117 15072 16234 24351 32468 48702 64936 97404 129872 194808 259744 389616 779232 1274369 2548738 3823107 5097476 7646214 10194952 15292428 20389904 30584856 40779808 61169712 122339424