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122000000000 = 2105961
BaseRepresentation
bin111000110011111000…
…1000100010000000000
3102122220101112010201112
41301213301010100000
53444324000000000
6132013535222452
711546162614124
oct1614761042000
9378811463645
10122000000000
114781590178a
121b789677a28
13b673661718
145c94c01584
153290868235
hex1c67c44400

122000000000 has 220 divisors, whose sum is σ = 309848601084. Its totient is φ = 48000000000.

The previous prime is 121999999999. The next prime is 122000000033. The reversal of 122000000000 is 221.

It can be written as a sum of positive squares in 10 ways, for example, as 2914272256 + 119085727744 = 53984^2 + 345088^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1999999970 + ... + 2000000030.

Almost surely, 2122000000000 is an apocalyptic number.

122000000000 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 122000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154924300542).

122000000000 is an abundant number, since it is smaller than the sum of its proper divisors (187848601084).

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

122000000000 is an frugal number, since it uses more digits than its factorization.

122000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 122000000000 its reverse (221), we get a palindrome (122000000221).

The spelling of 122000000000 in words is "one hundred twenty-two billion", and thus it is an aban number.