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122340413312 = 2713376919507
BaseRepresentation
bin111000111110000001…
…1101000111110000000
3102200210010001220222222
41301330003220332000
54001023121211222
6132111415350212
711560465232555
oct1617403507600
9380703056888
10122340413312
114797aa792a7
121b863682368
13b6c903c210
145cc80d4a2c
1532b06ab542
hex1c7c0e8f80

122340413312 has 64 divisors (see below), whose sum is σ = 262556221200. Its totient is φ = 56446930944.

The previous prime is 122340413297. The next prime is 122340413387. The reversal of 122340413312 is 213314043221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6261863 + ... + 6281369.

Almost surely, 2122340413312 is an apocalyptic number.

It is an amenable number.

122340413312 is an abundant number, since it is smaller than the sum of its proper divisors (140215807888).

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

122340413312 is a wasteful number, since it uses less digits than its factorization.

122340413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23303 (or 23291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 122340413312 its reverse (213314043221), we get a palindrome (335654456533).

The spelling of 122340413312 in words is "one hundred twenty-two billion, three hundred forty million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3769 7538 15076 19507 30152 39014 48997 60304 78028 97994 120608 156056 195988 241216 253591 312112 391976 482432 507182 624224 783952 1014364 1248448 1567904 2028728 2496896 3135808 4057456 6271616 8114912 16229824 32459648 73521883 147043766 294087532 588175064 955784479 1176350128 1911568958 2352700256 3823137916 4705400512 7646275832 9410801024 15292551664 30585103328 61170206656 122340413312