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122334033340 = 225311327148691
BaseRepresentation
bin111000111101110101…
…1010011010110111100
3102200202200001210022201
41301323223103112330
54001020003031330
6132111030521244
711560360061221
oct1617353232674
9380680053281
10122334033340
11479774109a2
121b861506224
13b6c791729c
145cc7313948
1532aed4aeca
hex1c7bad35bc

122334033340 has 48 divisors (see below), whose sum is σ = 265390239744. Its totient is φ = 47319105600.

The previous prime is 122334033323. The next prime is 122334033343. The reversal of 122334033340 is 43330433221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122334033299 and 122334033308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122334033343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748395 + ... + 897085.

It is an arithmetic number, because the mean of its divisors is an integer number (5528963328).

Almost surely, 2122334033340 is an apocalyptic number.

122334033340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122334033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132695119872).

122334033340 is an abundant number, since it is smaller than the sum of its proper divisors (143056206404).

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

122334033340 is a wasteful number, since it uses less digits than its factorization.

122334033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150058 (or 150056 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 122334033340 its reverse (43330433221), we get a palindrome (165664466561).

The spelling of 122334033340 in words is "one hundred twenty-two billion, three hundred thirty-four million, thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1327 2654 5308 6635 13270 26540 41137 82274 148691 164548 205685 297382 411370 594764 743455 822740 1486910 2973820 4609421 9218842 18437684 23047105 46094210 92188420 197312957 394625914 789251828 986564785 1973129570 3946259140 6116701667 12233403334 24466806668 30583508335 61167016670 122334033340