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12211120020 = 22351118501697
BaseRepresentation
bin10110101111101011…
…01110011110010100
31011112000101011120110
423113311232132110
5200002021320040
65335410403020
7611413544001
oct132765563624
934460334513
1012211120020
1151a694a230
122449590470
1311c7b13408
1483ba968a8
154b7074980
hex2d7d6e794

12211120020 has 48 divisors (see below), whose sum is σ = 37299423168. Its totient is φ = 2960271360.

The previous prime is 12211119967. The next prime is 12211120021. The reversal of 12211120020 is 2002111221.

It is a super-2 number, since 2×122111200202 (a number of 21 digits) 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 = 12211119978 and 12211120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9250189 + ... + 9251508.

It is an arithmetic number, because the mean of its divisors is an integer number (777071316).

Almost surely, 212211120020 is an apocalyptic number.

12211120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211120020 is an abundant number, since it is smaller than the sum of its proper divisors (25088303148).

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

12211120020 is a wasteful number, since it uses less digits than its factorization.

12211120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18501720 (or 18501718 counting only the distinct ones).

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

Adding to 12211120020 its reverse (2002111221), we get a palindrome (14213231241).

It can be divided in two parts, 12211 and 120020, that added together give a palindrome (132231).

The spelling of 12211120020 in words is "twelve billion, two hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 18501697 37003394 55505091 74006788 92508485 111010182 185016970 203518667 222020364 277525455 370033940 407037334 555050910 610556001 814074668 1017593335 1110101820 1221112002 2035186670 2442224004 3052780005 4070373340 6105560010 12211120020