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1122121224 = 233272226431
BaseRepresentation
bin100001011100010…
…0011011000001000
32220012110122221100
41002320203120020
54244230334344
6303202541400
736543605310
oct10270433010
92805418840
101122121224
11526454314
12273967860
1314b627773
14a905a440
15687a5569
hex42e23608

1122121224 has 48 divisors (see below), whose sum is σ = 3473233920. Its totient is φ = 320605920.

The previous prime is 1122121223. The next prime is 1122121267. The reversal of 1122121224 is 4221212211.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1122121197 and 1122121206.

It is not an unprimeable number, because it can be changed into a prime (1122121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1112712 + ... + 1113719.

It is an arithmetic number, because the mean of its divisors is an integer number (72359040).

Almost surely, 21122121224 is an apocalyptic number.

1122121224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1122121224 is an abundant number, since it is smaller than the sum of its proper divisors (2351112696).

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

1122121224 is a wasteful number, since it uses less digits than its factorization.

1122121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226450 (or 2226443 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 1122121224 is about 33498.0779150088. The cubic root of 1122121224 is about 1039.1540285139.

Adding to 1122121224 its reverse (4221212211), we get a palindrome (5343333435).

The spelling of 1122121224 in words is "one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2226431 4452862 6679293 8905724 13358586 15585017 17811448 20037879 26717172 31170034 40075758 46755051 53434344 62340068 80151516 93510102 124680136 140265153 160303032 187020204 280530306 374040408 561060612 1122121224