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12322222021120 = 295111313340297
BaseRepresentation
bin1011001101001111110110…
…1010101001101000000000
31121121222210211122202201211
42303103331222221220000
53103341402314133440
642112430050135504
72411152102005424
oct263237552515000
947558724582654
1012322222021120
113a20909100510
121470167281594
136b4c99367acb
14308582176b84
151657e1466eea
hexb34fdaa9a00

12322222021120 has 160 divisors (see below), whose sum is σ = 32476354612416. Its totient is φ = 4446602035200.

The previous prime is 12322222021099. The next prime is 12322222021139. The reversal of 12322222021120 is 2112022222321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12322222021091 and 12322222021100.

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, 2018812 + ... + 5359108.

Almost surely, 212322222021120 is an apocalyptic number.

12322222021120 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 12322222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238177306208).

12322222021120 is an abundant number, since it is smaller than the sum of its proper divisors (20154132591296).

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

12322222021120 is a wasteful number, since it uses less digits than its factorization.

12322222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340462 (or 3340446 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12322222021120 its reverse (2112022222321), we get a palindrome (14434244243441).

The spelling of 12322222021120 in words is "twelve trillion, three hundred twenty-two billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 131 160 176 220 256 262 320 352 440 512 524 640 655 704 880 1048 1280 1310 1408 1441 1760 2096 2560 2620 2816 2882 3520 4192 5240 5632 5764 7040 7205 8384 10480 11528 14080 14410 16768 20960 23056 28160 28820 33536 41920 46112 57640 67072 83840 92224 115280 167680 184448 230560 335360 368896 461120 737792 922240 1844480 3340297 3688960 6680594 13361188 16701485 26722376 33402970 36743267 53444752 66805940 73486534 106889504 133611880 146973068 183716335 213779008 267223760 293946136 367432670 427558016 437578907 534447520 587892272 734865340 855116032 875157814 1068895040 1175784544 1469730680 1710232064 1750315628 2137790080 2187894535 2351569088 2939461360 3500631256 4275580160 4375789070 4703138176 4813367977 5878922720 7001262512 8551160320 8751578140 9406276352 9626735954 11757845440 14002525024 17503156280 18812552704 19253471908 23515690880 24066839885 28005050048 35006312560 38506943816 47031381760 48133679770 56010100096 70012625120 77013887632 94062763520 96267359540 112020200192 140025250240 154027775264 192534719080 224040400384 280050500480 308055550528 385069438160 560101000960 616111101056 770138876320 1120202001920 1232222202112 1540277752640 2464444404224 3080555505280 6161111010560 12322222021120