Search a number
-
+
12221032080 = 2435172995351
BaseRepresentation
bin10110110000110111…
…00010011010010000
31011112201000202100210
423120123202122100
5200012041011310
65340403044120
7611564026065
oct133033423220
934481022323
1012221032080
1152014aa314
122450970640
1311c9ba3c3a
1483d116c6c
154b7d81820
hex2d86e2690

12221032080 has 80 divisors (see below), whose sum is σ = 40113753984. Its totient is φ = 3067238400.

The previous prime is 12221032003. The next prime is 12221032081. The reversal of 12221032080 is 8023012221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12221032081) 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, 1493596 + ... + 1501755.

Almost surely, 212221032080 is an apocalyptic number.

12221032080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221032080 is an abundant number, since it is smaller than the sum of its proper divisors (27892721904).

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

12221032080 is a wasteful number, since it uses less digits than its factorization.

12221032080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995384 (or 2995378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

It can be divided in two parts, 122210 and 32080, that added together give a triangular number (154290 = T555).

The spelling of 12221032080 in words is "twelve billion, two hundred twenty-one million, thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 2995351 5990702 8986053 11981404 14976755 17972106 23962808 29953510 35944212 44930265 47925616 50920967 59907020 71888424 89860530 101841934 119814040 143776848 152762901 179721060 203683868 239628080 254604835 305525802 359442120 407367736 509209670 611051604 718884240 763814505 814735472 1018419340 1222103208 1527629010 2036838680 2444206416 3055258020 4073677360 6110516040 12221032080