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122042210304 = 211373318573
BaseRepresentation
bin111000110101001001…
…0000101100000000000
3102200000022221122101010
41301222102011200000
53444420301212204
6132022044040520
711550214446210
oct1615222054000
9380008848333
10122042210304
1147837711a33
121b79b833140
13b67c320331
145c9a66c240
153294404d89
hex1c6a485800

122042210304 has 192 divisors, whose sum is σ = 373014270720. Its totient is φ = 34759802880.

The previous prime is 122042210293. The next prime is 122042210327. The reversal of 122042210304 is 403012240221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 14231362 + ... + 14239934.

It is an arithmetic number, because the mean of its divisors is an integer number (1942782660).

Almost surely, 2122042210304 is an apocalyptic number.

122042210304 is a gapful number since it is divisible by the number (14) 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 122042210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186507135360).

122042210304 is an abundant number, since it is smaller than the sum of its proper divisors (250972060416).

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

122042210304 is an equidigital number, since it uses as much as digits as its factorization.

122042210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 122042210304 its reverse (403012240221), we get a palindrome (525054450525).

The spelling of 122042210304 in words is "one hundred twenty-two billion, forty-two million, two hundred ten thousand, three hundred four".