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122133234344 = 231153101259271
BaseRepresentation
bin111000110111110110…
…1010100001010101000
3102200020200020010212212
41301233231110022220
54000112101444334
6132035055024252
711552401235342
oct1615755241250
9380220203785
10122133234344
1147884032710
121b80620b088
13b695140404
145ca87a4292
15329c3d4ece
hex1c6fb542a8

122133234344 has 64 divisors (see below), whose sum is σ = 257052631680. Its totient is φ = 53928160000.

The previous prime is 122133234337. The next prime is 122133234359. The reversal of 122133234344 is 443432331221.

It is a super-2 number, since 2×1221332343442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122133234344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341429 + ... + 600699.

It is an arithmetic number, because the mean of its divisors is an integer number (4016447370).

Almost surely, 2122133234344 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 122133234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128526315840).

122133234344 is an abundant number, since it is smaller than the sum of its proper divisors (134919397336).

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

122133234344 is a wasteful number, since it uses less digits than its factorization.

122133234344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259442 (or 259438 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 122133234344 its reverse (443432331221), we get a palindrome (565565565565).

The spelling of 122133234344 in words is "one hundred twenty-two billion, one hundred thirty-three million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 53 88 101 106 202 212 404 424 583 808 1111 1166 2222 2332 4444 4664 5353 8888 10706 21412 42824 58883 117766 235532 259271 471064 518542 1037084 2074168 2851981 5703962 11407924 13741363 22815848 26186371 27482726 52372742 54965452 104745484 109930904 151154993 209490968 288050081 302309986 576100162 604619972 1152200324 1209239944 1387877663 2304400648 2775755326 5551510652 11103021304 15266654293 30533308586 61066617172 122133234344