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12210133200 = 2435237275003
BaseRepresentation
bin10110101111100011…
…11101100011010000
31011111221112000220120
423113301331203100
5200001243230300
65335333310240
7611402263656
oct132761754320
934457460816
1012210133200
1151a6335881
122449195380
1311c78591b5
1483b8badd6
154b6e2c3a0
hex2d7c7d8d0

12210133200 has 120 divisors (see below), whose sum is σ = 40170384288. Its totient is φ = 3168023040.

The previous prime is 12210133181. The next prime is 12210133213. The reversal of 12210133200 is 233101221.

It is a tau number, because it is divible by the number of its divisors (120).

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 12210133200.

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 23 ways as a sum of consecutive naturals, for example, 93102 + ... + 181901.

Almost surely, 212210133200 is an apocalyptic number.

12210133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210133200 is an abundant number, since it is smaller than the sum of its proper divisors (27960251088).

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

12210133200 is a wasteful number, since it uses less digits than its factorization.

12210133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275061 (or 275050 counting only the distinct ones).

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

Adding to 12210133200 its reverse (233101221), we get a palindrome (12443234421).

The spelling of 12210133200 in words is "twelve billion, two hundred ten million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 275003 550006 825009 1100012 1375015 1650018 2200024 2750030 3300036 4125045 4400048 5500060 6600072 6875075 8250090 10175111 11000120 13200144 13750150 16500180 20350222 20625225 22000240 27500300 30525333 33000360 40700444 41250450 50875555 55000600 61050666 66000720 81400888 82500900 101751110 110001200 122101332 152626665 162801776 165001800 203502220 244202664 254377775 305253330 330003600 407004440 488405328 508755550 610506660 763133325 814008880 1017511100 1221013320 1526266650 2035022200 2442026640 3052533300 4070044400 6105066600 12210133200