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122040344532 = 223171971443467
BaseRepresentation
bin111000110101000101…
…0111101111111010100
3102200000012102212000110
41301222022331333110
53444414312011112
6132021540043020
711550162545511
oct1615212757724
9380005385013
10122040344532
1147836658177
121b79b093470
13b67bb19022
145c9a304308
15329418713c
hex1c6a2bdfd4

122040344532 has 96 divisors (see below), whose sum is σ = 321851335680. Its totient is φ = 35761098240.

The previous prime is 122040344527. The next prime is 122040344533. The reversal of 122040344532 is 235443040221.

It is a self number, because there is not a number n which added to its sum of digits gives 122040344532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122040344533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53463 + ... + 496929.

It is an arithmetic number, because the mean of its divisors is an integer number (3352618080).

Almost surely, 2122040344532 is an apocalyptic number.

122040344532 is a gapful number since it is divisible by the number (12) 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 122040344532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160925667840).

122040344532 is an abundant number, since it is smaller than the sum of its proper divisors (199810991148).

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

122040344532 is a wasteful number, since it uses less digits than its factorization.

122040344532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443581 (or 443579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 122040344532 its reverse (235443040221), we get a palindrome (357483384753).

The spelling of 122040344532 in words is "one hundred twenty-two billion, forty million, three hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 71 76 102 114 142 204 213 228 284 323 426 646 852 969 1207 1292 1349 1938 2414 2698 3621 3876 4047 4828 5396 7242 8094 14484 16188 22933 45866 68799 91732 137598 275196 443467 886934 1330401 1773868 2660802 5321604 7538939 8425873 15077878 16851746 22616817 25277619 30155756 31486157 33703492 45233634 50555238 62972314 90467268 94458471 101110476 125944628 143239841 188916942 286479682 377833884 429719523 535264669 572959364 598236983 859439046 1070529338 1196473966 1605794007 1718878092 1794710949 2141058676 2392947932 3211588014 3589421898 6423176028 7178843796 10170028711 20340057422 30510086133 40680114844 61020172266 122040344532