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12432213200 = 2452112825503
BaseRepresentation
bin10111001010000010…
…01000010011010000
31012002102101212101202
423211001020103100
5200430121310300
65413345250332
7620040032351
oct134501102320
935072355352
1012432213200
1152aa729870
1224ab6339a8
131231874594
1485d1a9d28
154cb698ad5
hex2e50484d0

12432213200 has 60 divisors (see below), whose sum is σ = 32583712128. Its totient is φ = 4520803200.

The previous prime is 12432213179. The next prime is 12432213223. The reversal of 12432213200 is 231223421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408352 + ... + 1417151.

Almost surely, 212432213200 is an apocalyptic number.

12432213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432213200 is an abundant number, since it is smaller than the sum of its proper divisors (20151498928).

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

12432213200 is a wasteful number, since it uses less digits than its factorization.

12432213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825532 (or 2825521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12432213200 its reverse (231223421), we get a palindrome (12663436621).

It can be divided in two parts, 1243221 and 3200, that added together give a palindrome (1246421).

The spelling of 12432213200 in words is "twelve billion, four hundred thirty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 2825503 5651006 11302012 14127515 22604024 28255030 31080533 45208048 56510060 62161066 70637575 113020120 124322132 141275150 155402665 226040240 248644264 282550300 310805330 497288528 565100600 621610660 777013325 1130201200 1243221320 1554026650 2486442640 3108053300 6216106600 12432213200