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12210133020 = 22351997110419
BaseRepresentation
bin10110101111100011…
…11101100000011100
31011111221112000122220
423113301331200130
5200001243224040
65335333305340
7611402263311
oct132761754034
934457460586
1012210133020
1151a6335728
122449195250
1311c78590a7
1483b8bad08
154b6e2c2d0
hex2d7c7d81c

12210133020 has 96 divisors (see below), whose sum is σ = 36359097600. Its totient is φ = 3052836864.

The previous prime is 12210133003. The next prime is 12210133049. The reversal of 12210133020 is 2033101221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55371 + ... + 165789.

It is an arithmetic number, because the mean of its divisors is an integer number (378740600).

Almost surely, 212210133020 is an apocalyptic number.

12210133020 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 12210133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179548800).

12210133020 is an abundant number, since it is smaller than the sum of its proper divisors (24148964580).

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

12210133020 is a wasteful number, since it uses less digits than its factorization.

12210133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110547 (or 110545 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12210133020 its reverse (2033101221), we get a palindrome (14243234241).

The spelling of 12210133020 in words is "twelve billion, two hundred ten million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 97 114 190 194 228 285 291 380 388 485 570 582 970 1140 1164 1455 1843 1940 2910 3686 5529 5820 7372 9215 11058 18430 22116 27645 36860 55290 110419 110580 220838 331257 441676 552095 662514 1104190 1325028 1656285 2097961 2208380 3312570 4195922 6293883 6625140 8391844 10489805 10710643 12587766 20979610 21421286 25175532 31469415 32131929 41959220 42842572 53553215 62938830 64263858 107106430 125877660 128527716 160659645 203502217 214212860 321319290 407004434 610506651 642638580 814008868 1017511085 1221013302 2035022170 2442026604 3052533255 4070044340 6105066510 12210133020