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123122421000 = 233253313711927
BaseRepresentation
bin111001010101010101…
…0110000110100001000
3102202210121120000212200
41302222222300310020
54004123314433000
6132321152440200
711616042211425
oct1625252606410
9382717500780
10123122421000
1148241440247
121ba41549060
13b7c2062767
145d5dcd8d4c
15330917c500
hex1caaab0d08

123122421000 has 384 divisors, whose sum is σ = 441225308160. Its totient is φ = 30912192000.

The previous prime is 123122420929. The next prime is 123122421017. The reversal of 123122421000 is 124221321.

It is a happy number.

123122421000 is a `hidden beast` number, since 1 + 231 + 224 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10317037 + ... + 10328963.

It is an arithmetic number, because the mean of its divisors is an integer number (1149024240).

Almost surely, 2123122421000 is an apocalyptic number.

123122421000 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 123122421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220612654080).

123122421000 is an abundant number, since it is smaller than the sum of its proper divisors (318102887160).

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

123122421000 is a wasteful number, since it uses less digits than its factorization.

123122421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123122421000 its reverse (124221321), we get a palindrome (123246642321).

The spelling of 123122421000 in words is "one hundred twenty-three billion, one hundred twenty-two million, four hundred twenty-one thousand".