Search a number
-
+
1222101120 = 27353717203
BaseRepresentation
bin100100011010111…
…1100100010000000
310011011121011120110
41020311330202000
510000324213440
6321133511320
742166455012
oct11065744200
93134534513
101222101120
11577931729
122a1342540
13166262076
14b84441b2
1572454080
hex48d7c880

1222101120 has 128 divisors (see below), whose sum is σ = 4000962240. Its totient is φ = 317067264.

The previous prime is 1222101079. The next prime is 1222101137. The reversal of 1222101120 is 211012221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12221011202 = 2987062295010508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1222101096 and 1222101105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62439 + ... + 79641.

Almost surely, 21222101120 is an apocalyptic number.

1222101120 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 1222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000481120).

1222101120 is an abundant number, since it is smaller than the sum of its proper divisors (2778861120).

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

1222101120 is a wasteful number, since it uses less digits than its factorization.

1222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17262 (or 17250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1222101120 is about 34958.5628995243. The cubic root of 1222101120 is about 1069.1427961472.

Adding to 1222101120 its reverse (211012221), we get a palindrome (1433113341).

It can be divided in two parts, 1222101 and 120, that added together give a palindrome (1222221).

The spelling of 1222101120 in words is "one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 5920 7104 8880 11840 14208 17203 17760 23680 34406 35520 51609 68812 71040 86015 103218 137624 172030 206436 258045 275248 344060 412872 516090 550496 636511 688120 825744 1032180 1100992 1273022 1376240 1651488 1909533 2064360 2201984 2546044 2752480 3182555 3302976 3819066 4128720 5092088 5504960 6365110 6605952 7638132 8257440 9547665 10184176 11009920 12730220 15276264 16514880 19095330 20368352 25460440 30552528 33029760 38190660 40736704 50920880 61105056 76381320 81473408 101841760 122210112 152762640 203683520 244420224 305525280 407367040 611050560 1222101120