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122397821312 = 2713292149587
BaseRepresentation
bin111000111111101111…
…0101000100110000000
3102200221010002112222012
41301333132220212000
54001132320240222
6132121230032052
711562063213044
oct1617736504600
9380833075865
10122397821312
11479aa419828
121b87a948628
13b707bbc450
145cd199a024
1532b574b1e2
hex1c7f7a8980

122397821312 has 192 divisors, whose sum is σ = 274255254000. Its totient is φ = 54084968448.

The previous prime is 122397821311. The next prime is 122397821333. The reversal of 122397821312 is 213128793221.

It is a self number, because there is not a number n which added to its sum of digits gives 122397821312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122397821311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 208513883 + ... + 208514469.

Almost surely, 2122397821312 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 122397821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137127627000).

122397821312 is an abundant number, since it is smaller than the sum of its proper divisors (151857432688).

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

122397821312 is a wasteful number, since it uses less digits than its factorization.

122397821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 780 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The spelling of 122397821312 in words is "one hundred twenty-two billion, three hundred ninety-seven million, eight hundred twenty-one thousand, three hundred twelve".