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12121122121040 = 245811811866373
BaseRepresentation
bin1011000001100010101100…
…1011011010010101010000
31120220202201211201100222102
42300120223023122111100
53042043024230333130
641440211105255532
72360502464032562
oct260305313322520
946822654640872
1012121122121040
1139535a2493089
1214391a33345a8
1369c02b2015aa
142dc945d81332
1516047167b645
hexb062b2da550

12121122121040 has 40 divisors (see below), whose sum is σ = 28181971176648. Its totient is φ = 4848386526720.

The previous prime is 12121122121039. The next prime is 12121122121067. The reversal of 12121122121040 is 4012122112121.

It can be written as a sum of positive squares in 4 ways, for example, as 1514740639504 + 10606381481536 = 1230748^2 + 3256744^2 .

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 an unprimeable number.

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, 5561294 + ... + 7427666.

Almost surely, 212121122121040 is an apocalyptic number.

12121122121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121122121040 is an abundant number, since it is smaller than the sum of its proper divisors (16060849055608).

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

12121122121040 is a wasteful number, since it uses less digits than its factorization.

12121122121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947567 (or 1947561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12121122121040 its reverse (4012122112121), we get a palindrome (16133244233161).

The spelling of 12121122121040 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 81181 162362 324724 405905 649448 811810 1298896 1623620 1866373 3247240 3732746 6494480 7465492 9331865 14930984 18663730 29861968 37327460 74654920 149309840 151514026513 303028053026 606056106052 757570132565 1212112212104 1515140265130 2424224424208 3030280530260 6060561060520 12121122121040