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122342424 = 23337311443
BaseRepresentation
bin1110100101011…
…00110000011000
322112012122020220
413102230300120
5222304424144
620050120040
73013615311
oct722546030
9275178226
10122342424
1163071746
1234b80020
131c467189
1412369608
15ab19919
hex74acc18

122342424 has 64 divisors (see below), whose sum is σ = 315843840. Its totient is φ = 39461760.

The previous prime is 122342417. The next prime is 122342431. The reversal of 122342424 is 424243221.

It is an interprime number because it is at equal distance from previous prime (122342417) and next prime (122342431).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122342394 and 122342403.

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, 275947 + ... + 276389.

It is an arithmetic number, because the mean of its divisors is an integer number (4935060).

Almost surely, 2122342424 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 122342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157921920).

122342424 is an abundant number, since it is smaller than the sum of its proper divisors (193501416).

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

122342424 is a wasteful number, since it uses less digits than its factorization.

122342424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 122342424 is about 11060.8509618383. The cubic root of 122342424 is about 496.4311525967.

Adding to 122342424 its reverse (424243221), we get a palindrome (546585645).

The spelling of 122342424 in words is "one hundred twenty-two million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 311 443 444 622 886 888 933 1244 1329 1772 1866 2488 2658 3544 3732 5316 7464 10632 11507 16391 23014 32782 34521 46028 49173 65564 69042 92056 98346 131128 137773 138084 196692 275546 276168 393384 413319 551092 826638 1102184 1653276 3306552 5097601 10195202 15292803 20390404 30585606 40780808 61171212 122342424