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122669382420 = 223451347123931
BaseRepresentation
bin111001000111110101…
…0100011101100010100
3102201122001002021210000
41302033222203230110
54002211330214140
6132204210331300
711601601355304
oct1621752435424
9381561067700
10122669382420
11480297396a2
121b935889b30
13b74c2409b0
145d19a89604
1532ce4dda30
hex1c8faa3b14

122669382420 has 240 divisors, whose sum is σ = 423240668928. Its totient is φ = 29552843520.

The previous prime is 122669382419. The next prime is 122669382439. The reversal of 122669382420 is 24283966221.

122669382420 is a `hidden beast` number, since 1 + 2 + 2 + 66 + 93 + 82 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 927855 + ... + 1051785.

Almost surely, 2122669382420 is an apocalyptic number.

122669382420 is a gapful number since it is divisible by the number (10) 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 122669382420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211620334464).

122669382420 is an abundant number, since it is smaller than the sum of its proper divisors (300571286508).

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

122669382420 is a wasteful number, since it uses less digits than its factorization.

122669382420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124012 (or 124001 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 122669382420 in words is "one hundred twenty-two billion, six hundred sixty-nine million, three hundred eighty-two thousand, four hundred twenty".