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122213148880 = 2451527664361
BaseRepresentation
bin111000111010001111…
…0001010100011010000
3102200110020121020000111
41301310132022203100
54000243031231010
6132051031531104
711554361424334
oct1616436124320
9380406536014
10122213148880
1147915155689
121b828b29a94
13b6a8870914
145cb52477c4
1532a441d58a
hex1c7478a8d0

122213148880 has 20 divisors (see below), whose sum is σ = 284145571332. Its totient is φ = 48885259520.

The previous prime is 122213148853. The next prime is 122213148929. The reversal of 122213148880 is 88841312221.

It can be written as a sum of positive squares in 2 ways, for example, as 90803384896 + 31409763984 = 301336^2 + 177228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763832101 + ... + 763832260.

Almost surely, 2122213148880 is an apocalyptic number.

122213148880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213148880 is an abundant number, since it is smaller than the sum of its proper divisors (161932422452).

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

122213148880 is a wasteful number, since it uses less digits than its factorization.

122213148880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527664374 (or 1527664368 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 122213148880 in words is "one hundred twenty-two billion, two hundred thirteen million, one hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1527664361 3055328722 6110657444 7638321805 12221314888 15276643610 24442629776 30553287220 61106574440 122213148880