Search a number
-
+
12211220101120 = 21151192501963
BaseRepresentation
bin1011000110110010010101…
…1011111011100000000000
31121020101021220221222111121
42301230211123323200000
53100032034321213440
641545431305522024
72400142263156415
oct261544533734000
947211256858447
1012211220101120
113988827446047
121452748aa3314
136a768940ab41
14303051ca610c
1516299640e34a
hexb1b256fb800

12211220101120 has 48 divisors (see below), whose sum is σ = 29299773255480. Its totient is φ = 4884488036352.

The previous prime is 12211220101117. The next prime is 12211220101183. The reversal of 12211220101120 is 2110102211221.

It is a super-2 number, since 2×122112201011202 (a number of 27 digits) contains 22 as substring.

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 = 12211220101094 and 12211220101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 596240742 + ... + 596261221.

Almost surely, 212211220101120 is an apocalyptic number.

12211220101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211220101120 is an abundant number, since it is smaller than the sum of its proper divisors (17088553154360).

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

12211220101120 is an equidigital number, since it uses as much as digits as its factorization.

12211220101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192501990 (or 1192501970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211220101120 its reverse (2110102211221), we get a palindrome (14321322312341).

The spelling of 12211220101120 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 1192501963 2385003926 4770007852 5962509815 9540015704 11925019630 19080031408 23850039260 38160062816 47700078520 76320125632 95400157040 152640251264 190800314080 305280502528 381600628160 610561005056 763201256320 1221122010112 1526402512640 2442244020224 3052805025280 6105610050560 12211220101120