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12122255040 = 263572475483
BaseRepresentation
bin10110100101000101…
…01110111011000000
31011021211011100201220
423102202232323000
5144311244130130
65322513555040
7606254316300
oct132242567300
934254140656
1012122255040
1151607736a5
122423875a80
1311b259ac9c
1482dd63600
154ae36e410
hex2d28aeec0

12122255040 has 336 divisors, whose sum is σ = 45732874752. Its totient is φ = 2711353344.

The previous prime is 12122255039. The next prime is 12122255053. The reversal of 12122255040 is 4055222121.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12122255040.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208139 + ... + 2213621.

Almost surely, 212122255040 is an apocalyptic number.

12122255040 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 12122255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22866437376).

12122255040 is an abundant number, since it is smaller than the sum of its proper divisors (33610619712).

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

12122255040 is a wasteful number, since it uses less digits than its factorization.

12122255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 12122255040 its reverse (4055222121), we get a palindrome (16177477161).

The spelling of 12122255040 in words is "twelve billion, one hundred twenty-two million, two hundred fifty-five thousand, forty".