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1122133120 = 27516710499
BaseRepresentation
bin100001011100010…
…0110010010000000
32220012111021020221
41002320212102000
54244231224440
6303203112424
736543655063
oct10270462200
92805437227
101122133120
11526462249
12273972714
1314b62ccc4
14a90608da
15687a8d4a
hex42e26480

1122133120 has 64 divisors (see below), whose sum is σ = 2698920000. Its totient is φ = 446123008.

The previous prime is 1122133109. The next prime is 1122133123. The reversal of 1122133120 is 213312211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122133094 and 1122133103.

It is not an unprimeable number, because it can be changed into a prime (1122133123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101631 + ... + 112129.

It is an arithmetic number, because the mean of its divisors is an integer number (42170625).

Almost surely, 21122133120 is an apocalyptic number.

1122133120 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 1122133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349460000).

1122133120 is an abundant number, since it is smaller than the sum of its proper divisors (1576786880).

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

1122133120 is a wasteful number, since it uses less digits than its factorization.

1122133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1122133120 is about 33498.2554769648. The cubic root of 1122133120 is about 1039.1577006462.

Adding to 1122133120 its reverse (213312211), we get a palindrome (1335445331).

The spelling of 1122133120 in words is "one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 320 334 640 668 835 1336 1670 2672 3340 5344 6680 10499 10688 13360 20998 21376 26720 41996 52495 53440 83992 104990 106880 167984 209980 335968 419960 671936 839920 1343872 1679840 1753333 3359680 3506666 6719360 7013332 8766665 14026664 17533330 28053328 35066660 56106656 70133320 112213312 140266640 224426624 280533280 561066560 1122133120