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122131061052 = 2237112132333967
BaseRepresentation
bin111000110111110010…
…1000001100100111100
3102200020112010201200120
41301233211001210330
54000111022423202
6132034540254540
711552343614250
oct1615745014474
9380215121616
10122131061052
1147882888900
121b805541450
13b69485c140
145ca839a260
15329c1060bc
hex1c6f94193c

122131061052 has 288 divisors, whose sum is σ = 387271213056. Its totient is φ = 29149148160.

The previous prime is 122131061051. The next prime is 122131061069. The reversal of 122131061052 is 250160131221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131061051) 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 95 ways as a sum of consecutive naturals, for example, 30784773 + ... + 30788739.

It is an arithmetic number, because the mean of its divisors is an integer number (1344691712).

Almost surely, 2122131061052 is an apocalyptic number.

122131061052 is a gapful number since it is divisible by the number (12) 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 122131061052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193635606528).

122131061052 is an abundant number, since it is smaller than the sum of its proper divisors (265140152004).

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

122131061052 is a wasteful number, since it uses less digits than its factorization.

122131061052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 122131061052 its reverse (250160131221), we get a palindrome (372291192273).

The spelling of 122131061052 in words is "one hundred twenty-two billion, one hundred thirty-one million, sixty-one thousand, fifty-two".