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122384302920 = 233451121312383
BaseRepresentation
bin111000111111010101…
…1000100001101001000
3102200220011122202020000
41301332223010031020
54001120340143140
6132120024203000
711561540260605
oct1617653041510
9380804582200
10122384302920
11479a2826200
121b876309460
13b7051682b9
145ccdc7b6ac
1532b447aa30
hex1c7eac4348

122384302920 has 480 divisors, whose sum is σ = 455784658560. Its totient is φ = 29430086400.

The previous prime is 122384302913. The next prime is 122384302939. The reversal of 122384302920 is 29203483221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51356049 + ... + 51358431.

It is an arithmetic number, because the mean of its divisors is an integer number (949551372).

Almost surely, 2122384302920 is an apocalyptic number.

122384302920 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 122384302920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227892329280).

122384302920 is an abundant number, since it is smaller than the sum of its proper divisors (333400355640).

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

122384302920 is a wasteful number, since it uses less digits than its factorization.

122384302920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 122384302920 in words is "one hundred twenty-two billion, three hundred eighty-four million, three hundred two thousand, nine hundred twenty".