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1122120405 = 33571187429
BaseRepresentation
bin100001011100010…
…0011001011010101
32220012110121211000
41002320203023111
54244230323110
6303202533513
736543603030
oct10270431325
92805417730
101122120405
1152645373a
12273967299
1314b627293
14a905a017
15687a51c0
hex42e232d5

1122120405 has 32 divisors (see below), whose sum is σ = 2279865600. Its totient is φ = 512968896.

The previous prime is 1122120401. The next prime is 1122120427. The reversal of 1122120405 is 5040212211.

It is not a de Polignac number, because 1122120405 - 22 = 1122120401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122120401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592770 + ... + 594659.

It is an arithmetic number, because the mean of its divisors is an integer number (71245800).

Almost surely, 21122120405 is an apocalyptic number.

1122120405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1122120405 is an abundant number, since it is smaller than the sum of its proper divisors (1157745195).

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

1122120405 is a wasteful number, since it uses less digits than its factorization.

1122120405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187450 (or 1187444 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1122120405 is about 33498.0656904246. The cubic root of 1122120405 is about 1039.1537756989.

Adding to 1122120405 its reverse (5040212211), we get a palindrome (6162332616).

It can be divided in two parts, 11221 and 20405, that added together give a triangular number (31626 = T251).

The spelling of 1122120405 in words is "one billion, one hundred twenty-two million, one hundred twenty thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1187429 3562287 5937145 8312003 10686861 17811435 24936009 32060583 41560015 53434305 74808027 124680045 160302915 224424081 374040135 1122120405