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12122102012240 = 2451113775115923
BaseRepresentation
bin1011000001100110010110…
…0101011001100101010000
31120220212021010120000000002
42300121211211121211100
53042102031103342430
641440452231545132
72360535663002333
oct260314545314520
946825233500002
1012122102012240
113953a55621920
12143941752b1a8
1369c15621a97c
142dc9da17661a
151604cc6d9845
hexb0665959950

12122102012240 has 40 divisors (see below), whose sum is σ = 30746058742368. Its totient is φ = 4408037095040.

The previous prime is 12122102012239. The next prime is 12122102012243. The reversal of 12122102012240 is 4221020122121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102012243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6887557082 + ... + 6887558841.

Almost surely, 212122102012240 is an apocalyptic number.

12122102012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102012240 is an abundant number, since it is smaller than the sum of its proper divisors (18623956730128).

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

12122102012240 is a wasteful number, since it uses less digits than its factorization.

12122102012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13775115947 (or 13775115941 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12122102012240 its reverse (4221020122121), we get a palindrome (16343122134361).

The spelling of 12122102012240 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 13775115923 27550231846 55100463692 68875579615 110200927384 137751159230 151526275153 220401854768 275502318460 303052550306 551004636920 606105100612 757631375765 1102009273840 1212210201224 1515262751530 2424420402448 3030525503060 6061051006120 12122102012240