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122311120113424 = 241127112911986359
BaseRepresentation
bin11011110011110111000110…
…110111011100111100010000
3121001001211101021000012112101
4123303313012313130330100
5112012421133222112144
61112044541453410144
734522454402053414
oct3363670667347420
9531054337005471
10122311120113424
1135a76944729080
121187486a799954
135332b735809c8
14222bc6587ad44
15e218d61aa6d4
hex6f3dc6ddcf10

122311120113424 has 80 divisors (see below), whose sum is σ = 259676302510080. Its totient is φ = 55347879312000.

The previous prime is 122311120113401. The next prime is 122311120113499. The reversal of 122311120113424 is 424311021113221.

It is a junction number, because it is equal to n+sod(n) for n = 122311120113392 and 122311120113401.

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, 60582357 + ... + 62568715.

It is an arithmetic number, because the mean of its divisors is an integer number (3245953781376).

Almost surely, 2122311120113424 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 122311120113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129838151255040).

122311120113424 is an abundant number, since it is smaller than the sum of its proper divisors (137365182396656).

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

122311120113424 is a wasteful number, since it uses less digits than its factorization.

122311120113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987940 (or 1987934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 122311120113424 its reverse (424311021113221), we get a palindrome (546622141226645).

The spelling of 122311120113424 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred twenty million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 271 542 1084 1291 2168 2582 2981 4336 5164 5962 10328 11924 14201 20656 23848 28402 47696 56804 113608 227216 349861 699722 1399444 1986359 2798888 3848471 3972718 5597776 7696942 7945436 15393884 15890872 21849949 30787768 31781744 43699898 61575536 87399796 174799592 349599184 538303289 1076606578 2153213156 2564389469 4306426312 5128778938 5921336179 8612852624 10257557876 11842672358 20515115752 23685344716 28208284159 41030231504 47370689432 56416568318 94741378864 112833136636 225666273272 451332546544 694949546099 1389899092198 2779798184396 5559596368792 7644445007089 11119192737584 15288890014178 30577780028356 61155560056712 122311120113424