Search a number
-
+
12211203120 = 2435129739229
BaseRepresentation
bin10110101111101100…
…00010110000110000
31011112000112101120020
423113312002300300
5200002031444440
65335412243440
7611414341164
oct132766026060
934460471506
1012211203120
1151a69a6706
122449610580
1311c7b4219c
1483bab8ca4
154b708e3d0
hex2d7d82c30

12211203120 has 80 divisors (see below), whose sum is σ = 37884881760. Its totient is φ = 3253727232.

The previous prime is 12211203091. The next prime is 12211203131. The reversal of 12211203120 is 2130211221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122112031202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211203120.

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, 291666 + ... + 330894.

It is an arithmetic number, because the mean of its divisors is an integer number (473561022).

Almost surely, 212211203120 is an apocalyptic number.

12211203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211203120 is an abundant number, since it is smaller than the sum of its proper divisors (25673678640).

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

12211203120 is a wasteful number, since it uses less digits than its factorization.

12211203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40542 (or 40536 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12211203120 its reverse (2130211221), we get a palindrome (14341414341).

The spelling of 12211203120 in words is "twelve billion, two hundred eleven million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1297 2594 3891 5188 6485 7782 10376 12970 15564 19455 20752 25940 31128 38910 39229 51880 62256 77820 78458 103760 117687 155640 156916 196145 235374 311280 313832 392290 470748 588435 627664 784580 941496 1176870 1569160 1882992 2353740 3138320 4707480 9414960 50880013 101760026 152640039 203520052 254400065 305280078 407040104 508800130 610560156 763200195 814080208 1017600260 1221120312 1526400390 2035200520 2442240624 3052800780 4070401040 6105601560 12211203120